88530624 has 224 divisors, whose sum is σ = 320893440. Its totient is φ = 23307264.

The previous prime is 88530599. The next prime is 88530643. The reversal of 88530624 is 42603588.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156967 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (1432560).

Almost surely, 2^88530624 is an apocalyptic number.

88530624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160446720).

88530624 is an abundant number, since it is smaller than the sum of its proper divisors (232362816).

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

88530624 is a wasteful number, since it uses less digits than its factorization.

88530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 88530624 is about 9409.0713675686. The cubic root of 88530624 is about 445.6882402363.

The spelling of 88530624 in words is "eighty-eight million, five hundred thirty thousand, six hundred twenty-four".