Q: What is the sum of all factors of the number 81,648 excluding 81,648?

A: 189,416

Why is 189,416 the sum of all factors of 81,648, excluding 81,648?

The factors of the number 81,648 are: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 243, 252, 324, 336, 378, 432, 486, 504, 567, 648, 729, 756, 972, 1008, 1134, 1296, 1458, 1512, 1701, 1944, 2268, 2916, 3024, 3402, 3888, 4536, 5103, 5832, 6804, 9072, 10206, 11664, 13608, 20412, 27216, 40824, 81648.

If you add them up, you will get the total of 81,837. Now subtract 81,648 to get 189,416