89517120 has 336 divisors, whose sum is σ = 362760768. Its totient is φ = 18493440.

The previous prime is 89517091. The next prime is 89517139. The reversal of 89517120 is 2171598.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517354 + ... + 517526.

Almost surely, 2^89517120 is an apocalyptic number.

89517120 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 89517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181380384).

89517120 is an abundant number, since it is smaller than the sum of its proper divisors (273243648).

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

89517120 is a wasteful number, since it uses less digits than its factorization.

89517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 89517120 is about 9461.3487410622. The cubic root of 89517120 is about 447.3375626332.

The spelling of 89517120 in words is "eighty-nine million, five hundred seventeen thousand, one hundred twenty".