89624520 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 22640256.

The previous prime is 89624453. The next prime is 89624531. The reversal of 89624520 is 2542698.

It is a happy number.

89624520 is a `hidden beast` number, since 8 + 9 + 624 + 5 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^89624520 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 89624520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

89624520 is an abundant number, since it is smaller than the sum of its proper divisors (217009080).

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

89624520 is a wasteful number, since it uses less digits than its factorization.

89624520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89624520 is about 9467.0227632556. The cubic root of 89624520 is about 447.5163919383.

The spelling of 89624520 in words is "eighty-nine million, six hundred twenty-four thousand, five hundred twenty".