87564360 has 64 divisors (see below), whose sum is σ = 282905280. Its totient is φ = 21553920.

The previous prime is 87564329. The next prime is 87564391. The reversal of 87564360 is 6346578.

It is an interprime number because it is at equal distance from previous prime (87564329) and next prime (87564391).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 26506 + ... + 29625.

It is an arithmetic number, because the mean of its divisors is an integer number (4420395).

Almost surely, 2^87564360 is an apocalyptic number.

It is an amenable number.

87564360 is an abundant number, since it is smaller than the sum of its proper divisors (195340920).

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

87564360 is a wasteful number, since it uses less digits than its factorization.

87564360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56158 (or 56154 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 87564360 is about 9357.5830212721. The cubic root of 87564360 is about 444.0608227690.

The spelling of 87564360 in words is "eighty-seven million, five hundred sixty-four thousand, three hundred sixty".