59920 has 40 divisors (see below), whose sum is σ = 160704. Its totient is φ = 20352.

The previous prime is 59887. The next prime is 59921. The reversal of 59920 is 2995.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59921) by changing a digit.

59920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507 + ... + 613.

2⁵⁹⁹²⁰ 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 59920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

59920 is an abundant number, since it is smaller than the sum of its proper divisors (100784).

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

59920 is a wasteful number, since it uses less digits than its factorization.

59920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 59920 is about 244.7856204927. The cubic root of 59920 is about 39.1312692611.

Subtracting from 59920 its sum of digits (25), we obtain a palindrome (59895).

It can be divided in two parts, 59 and 920, that added together give a palindrome (979).

The spelling of 59920 in words is "fifty-nine thousand, nine hundred twenty".