876315564 has 96 divisors (see below), whose sum is σ = 2395545600. Its totient is φ = 276618240.

The previous prime is 876315553. The next prime is 876315589. The reversal of 876315564 is 465513678.

876315564 is a `hidden beast` number, since 8 + 7 + 631 + 5 + 5 + 6 + 4 = 666.

876315564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154572 + ... + 160140.

It is an arithmetic number, because the mean of its divisors is an integer number (24953600).

Almost surely, 2^876315564 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 876315564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197772800).

876315564 is an abundant number, since it is smaller than the sum of its proper divisors (1519230036).

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

876315564 is a wasteful number, since it uses less digits than its factorization.

876315564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5652 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 876315564 is about 29602.6276536391. The cubic root of 876315564 is about 956.9447005713.

The spelling of 876315564 in words is "eight hundred seventy-six million, three hundred fifteen thousand, five hundred sixty-four".