Hickman County - As of the 2010 census, the population was 24,690. Its county seat is Centerville. According to the U.S. Census Bureau, the county has a total area of 613 square miles (1,590 km2), of which 612 square miles (1,590 km2) is land and 0.1 square miles (0.26 km2) (0.02%) is water. The Duck River, the Piney River, and many creeks, large and small, run through Hickman County.