864864864 has 60 divisors (see below), whose sum is σ = 2543551164. Its totient is φ = 288287424.

The previous prime is 864864839. The next prime is 864864911. The reversal of 864864864 is 468468468.

864864864 is a `hidden beast` number, since 86 + 4 + 86 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

864864864 is a modest number, since divided by 864864 gives 864 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 864864864.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 164242 + ... + 169425.

Almost surely, 2^864864864 is an apocalyptic number.

It is an amenable number.

864864864 is an abundant number, since it is smaller than the sum of its proper divisors (1678686300).

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

864864864 is a wasteful number, since it uses less digits than its factorization.

864864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333689 (or 333672 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 864864864 is about 29408.5848690480. The cubic root of 864864864 is about 952.7583228920.

The spelling of 864864864 in words is "eight hundred sixty-four million, eight hundred sixty-four thousand, eight hundred sixty-four".