89100960 has 192 divisors, whose sum is σ = 307359360. Its totient is φ = 21565440.

The previous prime is 89100901. The next prime is 89100967. The reversal of 89100960 is 6900198.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (89100967) 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, 680095 + ... + 680225.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^89100960 is an apocalyptic number.

89100960 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 89100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

89100960 is an abundant number, since it is smaller than the sum of its proper divisors (218258400).

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

89100960 is a wasteful number, since it uses less digits than its factorization.

89100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 89100960 is about 9439.3304847325. The cubic root of 89100960 is about 446.6432699806.

The spelling of 89100960 in words is "eighty-nine million, one hundred thousand, nine hundred sixty".