87568680 has 64 divisors (see below), whose sum is σ = 263672640. Its totient is φ = 23265792.

The previous prime is 87568669. The next prime is 87568697. The reversal of 87568680 is 8686578.

It is a happy number.

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, 35652 + ... + 38028.

It is an arithmetic number, because the mean of its divisors is an integer number (4119885).

Almost surely, 2^87568680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87568680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131836320).

87568680 is an abundant number, since it is smaller than the sum of its proper divisors (176103960).

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

87568680 is a wasteful number, since it uses less digits than its factorization.

87568680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 87568680 is about 9357.8138472615. The cubic root of 87568680 is about 444.0681252499.

The spelling of 87568680 in words is "eighty-seven million, five hundred sixty-eight thousand, six hundred eighty".