89588520 has 192 divisors, whose sum is σ = 338008320. Its totient is φ = 20155392.

The previous prime is 89588509. The next prime is 89588537. The reversal of 89588520 is 2588598.

It is a super-2 number, since 2×89588520² = 16052205831580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183717 + ... + 184203.

It is an arithmetic number, because the mean of its divisors is an integer number (1760460).

Almost surely, 2^89588520 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 89588520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169004160).

89588520 is an abundant number, since it is smaller than the sum of its proper divisors (248419800).

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

89588520 is a wasteful number, since it uses less digits than its factorization.

With its successor (89588521) it forms an eRAP, since the sums of their prime factors are consecutive (584 and 585).

89588520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 89588520 is about 9465.1212353567. The cubic root of 89588520 is about 447.4564650802.

The spelling of 89588520 in words is "eighty-nine million, five hundred eighty-eight thousand, five hundred twenty".