As of the 2020 United States census, there were 1,826 people, 697 households, and 381 families residing in the city.

Fort Donelson, the site of a major Union victory in the Civil War, is located west of downtown Dover and located inside Fort Donelson National Battlefield Park.

Cross Creeks National Wildlife Refuge, a 8,862 acres (35.86 km2) habitat for waterfowl and aquatic plant life, is located on the Cumberland River east of Dover.

Land Between the Lakes National Recreation Area is located 6 miles (9.7 km) from downtown.

American singer-songwriter Dolly Parton was inspired to write the song "Down from Dover" when riding through the town on a tour bus.