81600972 has 48 divisors (see below), whose sum is σ = 201116160. Its totient is φ = 25679808.

The previous prime is 81600943. The next prime is 81600989. The reversal of 81600972 is 27900618.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105178 + ... + 105950.

It is an arithmetic number, because the mean of its divisors is an integer number (4189920).

Almost surely, 2^81600972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81600972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100558080).

81600972 is an abundant number, since it is smaller than the sum of its proper divisors (119515188).

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

81600972 is a wasteful number, since it uses less digits than its factorization.

81600972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 81600972 is about 9033.3256334531. The cubic root of 81600972 is about 433.7422992484.

The spelling of 81600972 in words is "eighty-one million, six hundred thousand, nine hundred seventy-two".