869736864 has 96 divisors (see below), whose sum is σ = 2425127040. Its totient is φ = 271982592.

The previous prime is 869736859. The next prime is 869736887. The reversal of 869736864 is 468637968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×869736864³ (a number of 28 digits) contains 333 as substring.

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, 666837 + ... + 668139.

It is an arithmetic number, because the mean of its divisors is an integer number (25261740).

Almost surely, 2^869736864 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 869736864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212563520).

869736864 is an abundant number, since it is smaller than the sum of its proper divisors (1555390176).

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

869736864 is a wasteful number, since it uses less digits than its factorization.

869736864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 869736864 is about 29491.3014972212. The cubic root of 869736864 is about 954.5440159352.

The spelling of 869736864 in words is "eight hundred sixty-nine million, seven hundred thirty-six thousand, eight hundred sixty-four".