89985024 has 78 divisors (see below), whose sum is σ = 260031486. Its totient is φ = 29982720.

The previous prime is 89985019. The next prime is 89985053. The reversal of 89985024 is 42058998.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 31002624 = 7680^2 + 5568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35644 + ... + 38084.

It is an arithmetic number, because the mean of its divisors is an integer number (3333737).

Almost surely, 2^89985024 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 89985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130015743).

89985024 is an abundant number, since it is smaller than the sum of its proper divisors (170046462).

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

89985024 is a wasteful number, since it uses less digits than its factorization.

89985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 89985024 is about 9486.0436431634. The cubic root of 89985024 is about 448.1156164185.

The spelling of 89985024 in words is "eighty-nine million, nine hundred eighty-five thousand, twenty-four".