87515920 has 40 divisors (see below), whose sum is σ = 212325696. Its totient is φ = 33483648.

The previous prime is 87515917. The next prime is 87515941. The reversal of 87515920 is 2951578.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87515920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21942 + ... + 25621.

Almost surely, 2^87515920 is an apocalyptic number.

87515920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87515920 is an abundant number, since it is smaller than the sum of its proper divisors (124809776).

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

87515920 is a wasteful number, since it uses less digits than its factorization.

87515920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47599 (or 47593 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 87515920 is about 9354.9943880261. The cubic root of 87515920 is about 443.9789238704.

The spelling of 87515920 in words is "eighty-seven million, five hundred fifteen thousand, nine hundred twenty".