864581792 has 72 divisors (see below), whose sum is σ = 1776027708. Its totient is φ = 414136320.

The previous prime is 864581761. The next prime is 864581813. The reversal of 864581792 is 297185468.

It can be written as a sum of positive squares in 6 ways, for example, as 95961616 + 768620176 = 9796^2 + 27724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 864581792.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6310748 + ... + 6310884.

Almost surely, 2^864581792 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 864581792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888013854).

864581792 is an abundant number, since it is smaller than the sum of its proper divisors (911445916).

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

864581792 is a wasteful number, since it uses less digits than its factorization.

864581792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 253 counting only the distinct ones).

The product of its digits is 967680, while the sum is 50.

The square root of 864581792 is about 29403.7717308511. The cubic root of 864581792 is about 952.6543649810.

The spelling of 864581792 in words is "eight hundred sixty-four million, five hundred eighty-one thousand, seven hundred ninety-two".