88962624 has 105 divisors (see below), whose sum is σ = 265741531. Its totient is φ = 29427840.

The previous prime is 88962613. The next prime is 88962631. The reversal of 88962624 is 42626988.

The square root of 88962624 is 9432.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 88962624.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 679039 + ... + 679169.

Almost surely, 2^88962624 is an apocalyptic number.

88962624 is the 9432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88962624

88962624 is an abundant number, since it is smaller than the sum of its proper divisors (176778907).

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

88962624 is an equidigital number, since it uses as much as digits as its factorization.

88962624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 136 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The cubic root of 88962624 is about 446.4120010648.

Multiplying 88962624 by its product of digits (331776), we get a square (29515663540224 = 5432832²).

The spelling of 88962624 in words is "eighty-eight million, nine hundred sixty-two thousand, six hundred twenty-four".