According to the United States Census Bureau, the city has a total area of, of which is land and is water. The city lies along both sides of the Jackson River.
The population of Covington has gradually declined since reaching its peak of 11,062 in 1960. The population decline has mainly resulted from losses of manufacturing jobs in the area. One major loss of manufacturing jobs occurred after a fire at the Hercules plant in June 1980, causing $23 million in damage and worker layoffs. As of the census of 2000, there were 6,303 people, 2,835 households, and 1,740 families residing in the city. The population density was 1,111.3 people per square mile. The racial makeup of the city was 84.1% White, 13.1% Black or African American, 0.4% Native American, 0.7% Asian, 0.0% Pacific Islander, 0.2% from other races, and 1.6% from two or more races. 0.6% of the population were Hispanic or Latino of any race. There were 3,195 housing units at an average density of 563.3 per square mile. There were 2,835 households, out of which 23.7% had children under the age of 18 living with them, 44.9% were married couples living together, 12.5% had a female householder with no husband present, and 38.6% were non-families. Of all households 34.0% were made up of individuals, and 16.4% had someone living alone who was 65 years of age or older. The average household size was 2.22 and the average family size was 2.83. In the city, the population was spread out, with 21.5% under the age of 18, 8.2% from 18 to 24, 26.3% from 25 to 44, 23.9% from 45 to 64, and 20.2% who were 65 years of age or older. The median age was 40 years. For every 100 females, there were 91.6 males. For every 100 females age 18 and over, there were 86.1 males. The median income for a household in the city was $30,325, and the median income for a family was $36,640. Males had a median income of $30,755 versus $20,316 for females. The per capita income for the city was $16,758. About 10.7% of families and 12.9% of the population were below the poverty line, including 16.1% of those under age 18 and 9.1% of those age 65 or over.
Economy
Covington's economy is dominated by Westrock, which has been operating in the city since 1899. The facility employs about 1300 workers, mostly from Covington and Alleghany County. Its production includes bleached paper and paperboard for packaging, and is the second largest on the East Coast. Both Alleghany County, VA and Covington City are known for the low cost of their housing markets and close proximity to The Homestead in Bath County, Lexington, The Greenbrier in White Sulphur Springs, Lewisburg, and Roanoke, each of which is within about a 45-minute drive.
The area is serviced by Interstate 64 and Route 220 offering rail, truck and interstate access to the area. Rail passenger service is provided at the Amtrak station in Clifton Forge, VA 12 miles away.
Education
Covington has one 8–12 high school, one 4–7 middle school called, one pre-kindergarten through third grade elementary school, one State Governors School, one technical center for high-school students, and one community college .