87688496 has 80 divisors (see below), whose sum is σ = 207129600. Its totient is φ = 35126784.

The previous prime is 87688487. The next prime is 87688541. The reversal of 87688496 is 69488678.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent 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, 189161 + ... + 189623.

It is an arithmetic number, because the mean of its divisors is an integer number (2589120).

Almost surely, 2^87688496 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 87688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103564800).

87688496 is an abundant number, since it is smaller than the sum of its proper divisors (119441104).

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

87688496 is a wasteful number, since it uses less digits than its factorization.

87688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 87688496 is about 9364.2135815027. The cubic root of 87688496 is about 444.2705652787.

The spelling of 87688496 in words is "eighty-seven million, six hundred eighty-eight thousand, four hundred ninety-six".