89160960 has 288 divisors, whose sum is σ = 339075072. Its totient is φ = 19537920.

The previous prime is 89160947. The next prime is 89160961. The reversal of 89160960 is 6906198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89160961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833227 + ... + 833333.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^89160960 is an apocalyptic number.

89160960 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 89160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536).

89160960 is an abundant number, since it is smaller than the sum of its proper divisors (249914112).

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

89160960 is a wasteful number, since it uses less digits than its factorization.

89160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 89160960 is about 9442.5081413785. The cubic root of 89160960 is about 446.7435030313.

The spelling of 89160960 in words is "eighty-nine million, one hundred sixty thousand, nine hundred sixty".