89808960 has 112 divisors (see below), whose sum is σ = 301971456. Its totient is φ = 22536192.

The previous prime is 89808959. The next prime is 89808973. The reversal of 89808960 is 6980898.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13569 + ... + 19071.

Almost surely, 2^89808960 is an apocalyptic number.

89808960 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 89808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150985728).

89808960 is an abundant number, since it is smaller than the sum of its proper divisors (212162496).

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

89808960 is a wasteful number, since it uses less digits than its factorization.

89808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 89808960 is about 9476.7589396375. The cubic root of 89808960 is about 447.8231657535.

The spelling of 89808960 in words is "eighty-nine million, eight hundred eight thousand, nine hundred sixty".