87815904 has 96 divisors (see below), whose sum is σ = 253725696. Its totient is φ = 26373120.

The previous prime is 87815899. The next prime is 87815977. The reversal of 87815904 is 40951878.

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

It is a congruent number.

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, 144369 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (2642976).

Almost surely, 2^87815904 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 87815904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126862848).

87815904 is an abundant number, since it is smaller than the sum of its proper divisors (165909792).

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

87815904 is a wasteful number, since it uses less digits than its factorization.

87815904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 87815904 is about 9371.0140326434. The cubic root of 87815904 is about 444.4856304795.

The spelling of 87815904 in words is "eighty-seven million, eight hundred fifteen thousand, nine hundred four".