589120 has 56 divisors (see below), whose sum is σ = 1609344. Its totient is φ = 201216.

The previous prime is 589111. The next prime is 589123. The reversal of 589120 is 21985.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (589123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 2371.

2⁵⁸⁹¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804672).

589120 is an abundant number, since it is smaller than the sum of its proper divisors (1020224).

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

589120 is a wasteful number, since it uses less digits than its factorization.

589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 589120 is about 767.5415298210. The cubic root of 589120 is about 83.8303454104.

The spelling of 589120 in words is "five hundred eighty-nine thousand, one hundred twenty".