868900864 has 112 divisors (see below), whose sum is σ = 1926640800. Its totient is φ = 389283840.

The previous prime is 868900849. The next prime is 868900909. The reversal of 868900864 is 468009868.

It is a super-2 number, since 2×868900864² = 1509977422919892992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4366237 + ... + 4366435.

It is an arithmetic number, because the mean of its divisors is an integer number (17202150).

Almost surely, 2^868900864 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 868900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963320400).

868900864 is an abundant number, since it is smaller than the sum of its proper divisors (1057739936).

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

868900864 is a wasteful number, since it uses less digits than its factorization.

868900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 868900864 is about 29477.1244187760. The cubic root of 868900864 is about 954.2380787226.

The spelling of 868900864 in words is "eight hundred sixty-eight million, nine hundred thousand, eight hundred sixty-four".