55660 has 36 divisors (see below), whose sum is σ = 134064. Its totient is φ = 19360.

The previous prime is 55639. The next prime is 55661. The reversal of 55660 is 6655.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (55661) by changing a digit.

55660 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 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁵⁵⁶⁶⁰ 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 55660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

55660 is an abundant number, since it is smaller than the sum of its proper divisors (78404).

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

55660 is a wasteful number, since it uses less digits than its factorization.

55660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 55660 is about 235.9237164848. The cubic root of 55660 is about 38.1810382580.

It can be divided in two parts, 556 and 60, that added together give a palindrome (616).

The spelling of 55660 in words is "fifty-five thousand, six hundred sixty".