869582016 has 84 divisors (see below), whose sum is σ = 2500578184. Its totient is φ = 288921600.

The previous prime is 869582009. The next prime is 869582047. The reversal of 869582016 is 610285968.

869582016 is a `hidden beast` number, since 8 + 69 + 582 + 0 + 1 + 6 = 666.

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 11 ways as a sum of consecutive naturals, for example, 188376 + ... + 192936.

Almost surely, 2^869582016 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 869582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250289092).

869582016 is an abundant number, since it is smaller than the sum of its proper divisors (1630996168).

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

869582016 is a wasteful number, since it uses less digits than its factorization.

869582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 869582016 is about 29488.6760638724. The cubic root of 869582016 is about 954.4873635495.

The spelling of 869582016 in words is "eight hundred sixty-nine million, five hundred eighty-two thousand, sixteen".