87314580 has 36 divisors (see below), whose sum is σ = 264854772. Its totient is φ = 23283840.

The previous prime is 87314527. The next prime is 87314597. The reversal of 87314580 is 8541378.

87314580 is a `hidden beast` number, since 8 + 73 + 1 + 4 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29615364 + 57699216 = 5442^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242361 + ... + 242720.

It is an arithmetic number, because the mean of its divisors is an integer number (7357077).

Almost surely, 2^87314580 is an apocalyptic number.

It is an amenable number.

87314580 is an abundant number, since it is smaller than the sum of its proper divisors (177540192).

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

87314580 is a wasteful number, since it uses less digits than its factorization.

87314580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485096 (or 485091 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87314580 is about 9344.2270948431. The cubic root of 87314580 is about 443.6381883206.

The spelling of 87314580 in words is "eighty-seven million, three hundred fourteen thousand, five hundred eighty".