79981632 has 84 divisors (see below), whose sum is σ = 230770176. Its totient is φ = 26484480.

The previous prime is 79981619. The next prime is 79981633. The reversal of 79981632 is 23618997.

79981632 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 1 + 632 = 666.

It is a super-2 number, since 2×79981632² = 12794122914766848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79981633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109653 + ... + 110379.

It is an arithmetic number, because the mean of its divisors is an integer number (2747264).

Almost surely, 2^79981632 is an apocalyptic number.

79981632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115385088).

79981632 is an abundant number, since it is smaller than the sum of its proper divisors (150788544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79981632 is a wasteful number, since it uses less digits than its factorization.

79981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 79981632 is about 8943.2450486387. The cubic root of 79981632 is about 430.8539582685.

The spelling of 79981632 in words is "seventy-nine million, nine hundred eighty-one thousand, six hundred thirty-two".