120588 has 24 divisors (see below), whose sum is σ = 303408. Its totient is φ = 37056.

The previous prime is 120587. The next prime is 120607. The reversal of 120588 is 885021.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120588.

It is not an unprimeable number, because it can be changed into a prime (120587) 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, 231 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (12642).

2¹²⁰⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

120588 is an abundant number, since it is smaller than the sum of its proper divisors (182820).

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

120588 is a wasteful number, since it uses less digits than its factorization.

120588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

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

The square root of 120588 is about 347.2578292854. The cubic root of 120588 is about 49.4046731853.

The spelling of 120588 in words is "one hundred twenty thousand, five hundred eighty-eight".