89192160 has 144 divisors (see below), whose sum is σ = 317719584. Its totient is φ = 22742016.

The previous prime is 89192153. The next prime is 89192161. The reversal of 89192160 is 6129198.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89192161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31774 + ... + 34466.

It is an arithmetic number, because the mean of its divisors is an integer number (2206386).

Almost surely, 2^89192160 is an apocalyptic number.

89192160 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 89192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158859792).

89192160 is an abundant number, since it is smaller than the sum of its proper divisors (228527424).

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

89192160 is a wasteful number, since it uses less digits than its factorization.

89192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89192160 is about 9444.1601002948. The cubic root of 89192160 is about 446.7956064474.

The spelling of 89192160 in words is "eighty-nine million, one hundred ninety-two thousand, one hundred sixty".