869360256 has 128 divisors (see below), whose sum is σ = 2677622400. Its totient is φ = 277161984.

The previous prime is 869360237. The next prime is 869360291. The reversal of 869360256 is 652063968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74020 + ... + 84956.

It is an arithmetic number, because the mean of its divisors is an integer number (20918925).

Almost surely, 2^869360256 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 869360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338811200).

869360256 is an abundant number, since it is smaller than the sum of its proper divisors (1808262144).

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

869360256 is a wasteful number, since it uses less digits than its factorization.

869360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10983 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 869360256 is about 29484.9157366949. The cubic root of 869360256 is about 954.4062191570.

The spelling of 869360256 in words is "eight hundred sixty-nine million, three hundred sixty thousand, two hundred fifty-six".