59120 has 20 divisors (see below), whose sum is σ = 137640. Its totient is φ = 23616.

The previous prime is 59119. The next prime is 59123. The reversal of 59120 is 2195.

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (6882).

2⁵⁹¹²⁰ is an apocalyptic number.

It is an amenable number.

59120 is an abundant number, since it is smaller than the sum of its proper divisors (78520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68820).

59120 is a wasteful number, since it uses less digits than its factorization.

59120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 59120 is about 243.1460466469. The cubic root of 59120 is about 38.9563394813.

The spelling of 59120 in words is "fifty-nine thousand, one hundred twenty".