87008688 has 80 divisors (see below), whose sum is σ = 268975840. Its totient is φ = 26770176.

The previous prime is 87008681. The next prime is 87008693. The reversal of 87008688 is 88680078.

It is not an unprimeable number, because it can be changed into a prime (87008681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 13362.

It is an arithmetic number, because the mean of its divisors is an integer number (3362198).

Almost surely, 2^87008688 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 87008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134487920).

87008688 is an abundant number, since it is smaller than the sum of its proper divisors (181967152).

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

87008688 is a wasteful number, since it uses less digits than its factorization.

87008688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523 (or 15511 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 87008688 is about 9327.8447671474. The cubic root of 87008688 is about 443.1195114645.

The spelling of 87008688 in words is "eighty-seven million, eight thousand, six hundred eighty-eight".