648 = 23 x 34 = 12 x 23 x 34.
648 has a representation as a sum of two squares: 648 = 182 + 182.
648 is the smallest number whose decimal part of its 6th root begins with the digits 1 to 9 in some order: 2.941682753. . . .
6483 = 272,097,792 = (-27 - 20 - 97 + 792)3.
648 is 220000 in base 3, 22020 in base 4, 3000 in base 6, 800 in base 9, and 200 in base 18.