89931504 has 80 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 27473664.

The previous prime is 89931481. The next prime is 89931509. The reversal of 89931504 is 40513998.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89931509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103777 + ... + 104639.

Almost surely, 2^89931504 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 89931504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

89931504 is an abundant number, since it is smaller than the sum of its proper divisors (162052368).

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

89931504 is a wasteful number, since it uses less digits than its factorization.

89931504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 89931504 is about 9483.2222371934. Note that the first 4 decimals coincide. The cubic root of 89931504 is about 448.0267575430.

The spelling of 89931504 in words is "eighty-nine million, nine hundred thirty-one thousand, five hundred four".