Burnham is a borough in Mifflin County, Pennsylvania, United States. The population was 2,054 at the 2010 census.Burnham is located at 40°38′6″N 77°33′53″W / 40.63500°N 77.56472°W / 40.63500; -77.56472.According to the United States Census Bureau, the borough has a total area of 1.1 square miles, all landAs of the census of 2010, there were 2,054 people, 866 households, and 577 families residing in the borough. The population density was 1,927.9 people per square mile. There were 934 housing units at an average density of 876.7 per square mile. The racial makeup of the borough was 98.0% White, 0.4% Black or African American, 0.2% Asian, 0.6% other, and 0.8% from two or more races. Hispanic or Latino of any race were 1.5% of the population.There were 866 households, out of which 30.5% had children under the age of 18 living with them, 47.6% were married couples living together, 5.8% had a male householder with no wife present, 13.