87568560 has 160 divisors (see below), whose sum is σ = 306408960. Its totient is φ = 22982400.

The previous prime is 87568553. The next prime is 87568601. The reversal of 87568560 is 6586578.

87568560 is a `hidden beast` number, since 87 + 5 + 6 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153075 + ... + 153645.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^87568560 is an apocalyptic number.

87568560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87568560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

87568560 is an abundant number, since it is smaller than the sum of its proper divisors (218840400).

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

87568560 is a wasteful number, since it uses less digits than its factorization.

87568560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 87568560 is about 9357.8074355054. The cubic root of 87568560 is about 444.0679224065.

The spelling of 87568560 in words is "eighty-seven million, five hundred sixty-eight thousand, five hundred sixty".