89496960 has 128 divisors (see below), whose sum is σ = 326073600. Its totient is φ = 20453376.

The previous prime is 89496949. The next prime is 89496983. The reversal of 89496960 is 6969498.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 10111 + ... + 16769.

It is an arithmetic number, because the mean of its divisors is an integer number (2547450).

Almost surely, 2^89496960 is an apocalyptic number.

89496960 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 89496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036800).

89496960 is an abundant number, since it is smaller than the sum of its proper divisors (236576640).

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

89496960 is a wasteful number, since it uses less digits than its factorization.

89496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 89496960 is about 9460.2832938554. The cubic root of 89496960 is about 447.3039787320.

The spelling of 89496960 in words is "eighty-nine million, four hundred ninety-six thousand, nine hundred sixty".