89589120 has 128 divisors (see below), whose sum is σ = 295596000. Its totient is φ = 23052288.

The previous prime is 89589119. The next prime is 89589139. The reversal of 89589120 is 2198598.

It is a happy number.

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, 54876 + ... + 56484.

Almost surely, 2^89589120 is an apocalyptic number.

89589120 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 89589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798000).

89589120 is an abundant number, since it is smaller than the sum of its proper divisors (206006880).

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

89589120 is a wasteful number, since it uses less digits than its factorization.

89589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 89589120 is about 9465.1529306187. The cubic root of 89589120 is about 447.4574639927.

The spelling of 89589120 in words is "eighty-nine million, five hundred eighty-nine thousand, one hundred twenty".