87288624 has 160 divisors (see below), whose sum is σ = 265379840. Its totient is φ = 27433728.

The previous prime is 87288623. The next prime is 87288647. The reversal of 87288624 is 42688278.

It is a happy number.

Its product of digits (344064) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 87288624.

It is not an unprimeable number, because it can be changed into a prime (87288623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687249 + ... + 687375.

It is an arithmetic number, because the mean of its divisors is an integer number (1658624).

Almost surely, 2^87288624 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 87288624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132689920).

87288624 is an abundant number, since it is smaller than the sum of its proper divisors (178091216).

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

87288624 is a wasteful number, since it uses less digits than its factorization.

87288624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 87288624 is about 9342.8381126936. The cubic root of 87288624 is about 443.5942238646.

The spelling of 87288624 in words is "eighty-seven million, two hundred eighty-eight thousand, six hundred twenty-four".