87115680 has 72 divisors (see below), whose sum is σ = 297287172. Its totient is φ = 23230464.

The previous prime is 87115601. The next prime is 87115709. The reversal of 87115680 is 8651178.

87115680 is a `hidden beast` number, since 87 + 11 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 3283344 = 9156^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28809 + ... + 31688.

Almost surely, 2^87115680 is an apocalyptic number.

87115680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87115680 is an abundant number, since it is smaller than the sum of its proper divisors (210171492).

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

87115680 is a wasteful number, since it uses less digits than its factorization.

87115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60518 (or 60507 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 87115680 is about 9333.5780920288. The cubic root of 87115680 is about 443.3010673686.

The spelling of 87115680 in words is "eighty-seven million, one hundred fifteen thousand, six hundred eighty".