80972564 has 12 divisors (see below), whose sum is σ = 150037524. Its totient is φ = 38104704.

The previous prime is 80972561. The next prime is 80972579. The reversal of 80972564 is 46527908.

It can be written as a sum of positive squares in 2 ways, for example, as 54140164 + 26832400 = 7358^2 + 5180^2 .

It is a super-2 number, since 2×80972564² = 13113112241468192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80972561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595319 + ... + 595454.

It is an arithmetic number, because the mean of its divisors is an integer number (12503127).

Almost surely, 2^80972564 is an apocalyptic number.

It is an amenable number.

80972564 is a deficient number, since it is larger than the sum of its proper divisors (69064960).

80972564 is a wasteful number, since it uses less digits than its factorization.

80972564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190794 (or 1190792 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 80972564 is about 8998.4756486863. The cubic root of 80972564 is about 432.6260142679.

The spelling of 80972564 in words is "eighty million, nine hundred seventy-two thousand, five hundred sixty-four".