89718160 has 80 divisors (see below), whose sum is σ = 240198912. Its totient is φ = 30528000.

The previous prime is 89718157. The next prime is 89718179. The reversal of 89718160 is 6181798.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 84030 + ... + 85090.

Almost surely, 2^89718160 is an apocalyptic number.

89718160 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 89718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120099456).

89718160 is an abundant number, since it is smaller than the sum of its proper divisors (150480752).

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

89718160 is a wasteful number, since it uses less digits than its factorization.

89718160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 89718160 is about 9471.9670607535. The cubic root of 89718160 is about 447.6721932342.

The spelling of 89718160 in words is "eighty-nine million, seven hundred eighteen thousand, one hundred sixty".