89500032 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 26707968.

The previous prime is 89500031. The next prime is 89500063. The reversal of 89500032 is 23000598.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 89499969 and 89500005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89500031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1904233 + ... + 1904279.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^89500032 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 89500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

89500032 is an abundant number, since it is smaller than the sum of its proper divisors (204259968).

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

89500032 is a wasteful number, since it uses less digits than its factorization.

89500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 89500032 is about 9460.4456554647. The cubic root of 89500032 is about 447.3090966045.

The spelling of 89500032 in words is "eighty-nine million, five hundred thousand, thirty-two".