87653688 has 96 divisors (see below), whose sum is σ = 236280960. Its totient is φ = 27086400.

The previous prime is 87653681. The next prime is 87653711. The reversal of 87653688 is 88635678.

It is a self number, because there is not a number n which added to its sum of digits gives 87653688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87653681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580413 + ... + 580563.

It is an arithmetic number, because the mean of its divisors is an integer number (2461260).

Almost surely, 2^87653688 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 87653688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

87653688 is an abundant number, since it is smaller than the sum of its proper divisors (148627272).

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

87653688 is a wasteful number, since it uses less digits than its factorization.

87653688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 87653688 is about 9362.3548319854. The cubic root of 87653688 is about 444.2117730116.

The spelling of 87653688 in words is "eighty-seven million, six hundred fifty-three thousand, six hundred eighty-eight".