588120 has 96 divisors (see below), whose sum is σ = 1976400. Its totient is φ = 139776.

The previous prime is 588113. The next prime is 588121. The reversal of 588120 is 21885.

588120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 588120.

It is not an unprimeable number, because it can be changed into a prime (588121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20266 + ... + 20294.

2⁵⁸⁸¹²⁰ 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 588120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988200).

588120 is an abundant number, since it is smaller than the sum of its proper divisors (1388280).

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

588120 is a wasteful number, since it uses less digits than its factorization.

588120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 588120 is about 766.8898225951. The cubic root of 588120 is about 83.7828860231.

The spelling of 588120 in words is "five hundred eighty-eight thousand, one hundred twenty".