55920 has 40 divisors (see below), whose sum is σ = 174096. Its totient is φ = 14848.

The previous prime is 55903. The next prime is 55921. The reversal of 55920 is 2955.

55920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55921) by changing a digit.

55920 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, 124 + ... + 356.

2⁵⁵⁹²⁰ 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 55920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

55920 is an abundant number, since it is smaller than the sum of its proper divisors (118176).

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

55920 is a wasteful number, since it uses less digits than its factorization.

55920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 55920 is about 236.4741000617. The cubic root of 55920 is about 38.2403965809.

The spelling of 55920 in words is "fifty-five thousand, nine hundred twenty".