89718960 has 120 divisors (see below), whose sum is σ = 288128880. Its totient is φ = 23093760.

The previous prime is 89718943. The next prime is 89718961. The reversal of 89718960 is 6981798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (89718961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230446 + ... + 230834.

It is an arithmetic number, because the mean of its divisors is an integer number (2401074).

Almost surely, 2^89718960 is an apocalyptic number.

89718960 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 89718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144064440).

89718960 is an abundant number, since it is smaller than the sum of its proper divisors (198409920).

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

89718960 is a wasteful number, since it uses less digits than its factorization.

89718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 89718960 is about 9472.0092905360. The cubic root of 89718960 is about 447.6735238333.

The spelling of 89718960 in words is "eighty-nine million, seven hundred eighteen thousand, nine hundred sixty".