869160564 has 72 divisors (see below), whose sum is σ = 2393814080. Its totient is φ = 272668032.

The previous prime is 869160521. The next prime is 869160601. The reversal of 869160564 is 465061968.

869160564 is a `hidden beast` number, since 86 + 9 + 1 + 6 + 0 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17289 + ... + 45135.

Almost surely, 2^869160564 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 869160564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196907040).

869160564 is an abundant number, since it is smaller than the sum of its proper divisors (1524653516).

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

869160564 is a wasteful number, since it uses less digits than its factorization.

869160564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27894 (or 27869 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 869160564 is about 29481.5292005011. The cubic root of 869160564 is about 954.3331378769. Note that the first 3 decimals are identical.

The spelling of 869160564 in words is "eight hundred sixty-nine million, one hundred sixty thousand, five hundred sixty-four".