55860 has 72 divisors (see below), whose sum is σ = 191520. Its totient is φ = 12096.

The previous prime is 55849. The next prime is 55871. The reversal of 55860 is 6855.

55860 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 an interprime number because it is at equal distance from previous prime (55849) and next prime (55871).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a self number, because there is not a number n which added to its sum of digits gives 55860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2931 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2⁵⁵⁸⁶⁰ 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 55860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

55860 is an abundant number, since it is smaller than the sum of its proper divisors (135660).

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

55860 is a wasteful number, since it uses less digits than its factorization.

55860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55860 is about 236.3472022259. The cubic root of 55860 is about 38.2267148636.

The spelling of 55860 in words is "fifty-five thousand, eight hundred sixty".