87158160 has 80 divisors (see below), whose sum is σ = 300218880. Its totient is φ = 23241600.

The previous prime is 87158153. The next prime is 87158191. The reversal of 87158160 is 6185178.

87158160 is a `hidden beast` number, since 8 + 71 + 581 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18016 + ... + 22335.

It is an arithmetic number, because the mean of its divisors is an integer number (3752736).

Almost surely, 2^87158160 is an apocalyptic number.

87158160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87158160 is an abundant number, since it is smaller than the sum of its proper divisors (213060720).

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

87158160 is a wasteful number, since it uses less digits than its factorization.

87158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40373 (or 40361 counting only the distinct ones).

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

The square root of 87158160 is about 9335.8534692871. The cubic root of 87158160 is about 443.3731109214.

The spelling of 87158160 in words is "eighty-seven million, one hundred fifty-eight thousand, one hundred sixty".