976812564 has 192 divisors, whose sum is σ = 2900172800. Its totient is φ = 250563456.

The previous prime is 976812563. The next prime is 976812583. The reversal of 976812564 is 465218679.

976812564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976812563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12364677 + ... + 12364755.

Almost surely, 2^976812564 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 976812564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450086400).

976812564 is an abundant number, since it is smaller than the sum of its proper divisors (1923360236).

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

976812564 is a wasteful number, since it uses less digits than its factorization.

976812564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 976812564 is about 31254.0007679017. Note that the first 3 decimals coincide. The cubic root of 976812564 is about 992.2103333158.

Subtracting from 976812564 its sum of digits (48), we obtain a square (976812516 = 31254²).

The spelling of 976812564 in words is "nine hundred seventy-six million, eight hundred twelve thousand, five hundred sixty-four".