89972160 has 224 divisors, whose sum is σ = 312724800. Its totient is φ = 21823488.

The previous prime is 89972149. The next prime is 89972171. The reversal of 89972160 is 6127998.

It is an interprime number because it is at equal distance from previous prime (89972149) and next prime (89972171).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603766 + ... + 603914.

Almost surely, 2^89972160 is an apocalyptic number.

89972160 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 89972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362400).

89972160 is an abundant number, since it is smaller than the sum of its proper divisors (222752640).

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

89972160 is a wasteful number, since it uses less digits than its factorization.

89972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 89972160 is about 9485.3655701823. The cubic root of 89972160 is about 448.0942616280.

The spelling of 89972160 in words is "eighty-nine million, nine hundred seventy-two thousand, one hundred sixty".