55680 has 64 divisors (see below), whose sum is σ = 183600. Its totient is φ = 14336.

The previous prime is 55673. The next prime is 55681. The reversal of 55680 is 8655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1906 + ... + 1934.

2⁵⁵⁶⁸⁰ 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 55680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

55680 is an abundant number, since it is smaller than the sum of its proper divisors (127920).

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

55680 is a wasteful number, since it uses less digits than its factorization.

55680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

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

The square root of 55680 is about 235.9660992600. The cubic root of 55680 is about 38.1856108374.

It can be divided in two parts, 556 and 80, that added together give a palindrome (636).

The spelling of 55680 in words is "fifty-five thousand, six hundred eighty".