55980 has 36 divisors (see below), whose sum is σ = 170352. Its totient is φ = 14880.

The previous prime is 55967. The next prime is 55987. The reversal of 55980 is 8955.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (55987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2⁵⁵⁹⁸⁰ 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 55980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176).

55980 is an abundant number, since it is smaller than the sum of its proper divisors (114372).

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

55980 is a wasteful number, since it uses less digits than its factorization.

55980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 55980 is about 236.6009298376. The cubic root of 55980 is about 38.2540685151.

It can be divided in two parts, 55 and 980, that added together give a triangular number (1035 = T₄₅).

The spelling of 55980 in words is "fifty-five thousand, nine hundred eighty".