89172564 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 25310208.

The previous prime is 89172563. The next prime is 89172569. The reversal of 89172564 is 46527198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89172563) 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, 103624 + ... + 104480.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^89172564 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 89172564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

89172564 is an abundant number, since it is smaller than the sum of its proper divisors (152989356).

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

89172564 is a wasteful number, since it uses less digits than its factorization.

89172564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 89172564 is about 9443.1225767751. The cubic root of 89172564 is about 446.7628829136.

The spelling of 89172564 in words is "eighty-nine million, one hundred seventy-two thousand, five hundred sixty-four".