89592160 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 30469632.

The previous prime is 89592157. The next prime is 89592161. The reversal of 89592160 is 6129598.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89592161) 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 15 ways as a sum of consecutive naturals, for example, 186801 + ... + 187279.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^89592160 is an apocalyptic number.

89592160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

89592160 is an abundant number, since it is smaller than the sum of its proper divisors (154263200).

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

89592160 is a wasteful number, since it uses less digits than its factorization.

89592160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 89592160 is about 9465.3135183152. The cubic root of 89592160 is about 447.4625250809.

The spelling of 89592160 in words is "eighty-nine million, five hundred ninety-two thousand, one hundred sixty".