Is 990 an abundant number and what is its abundance?

Is 990 an abundant number?

Here we will explain and calculate if 990 is an abundant number and its abundance if applicable.

990 is an abundant number if the sum of its proper divisors is greater than 990.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 11 + 15 + 18 + 22 + 30 + 33 + 45 + 55 + 66 + 90 + 99 + 110 + 165 + 198 + 330 + 495 = 1818.

1818 is greater than 990. Therefore, 990 is an abundant number.

The abundance of 990 is the sum of its proper divisors minus 990. Thus, the abundance of 990 is 1818 - 990 = 828

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