55656 has 24 divisors (see below), whose sum is σ = 150930. Its totient is φ = 18528.

The previous prime is 55639. The next prime is 55661. The reversal of 55656 is 65655.

55656 is a `hidden beast` number, since 5 + 5 + 656 = 666.

55656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 900 = 234^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 9.

It is an unprimeable number.

55656 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 5 ways as a sum of consecutive naturals, for example, 315 + ... + 458.

2⁵⁵⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

55656 is an abundant number, since it is smaller than the sum of its proper divisors (95274).

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

55656 is a wasteful number, since it uses less digits than its factorization.

55656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 55656 is about 235.9152390160. The cubic root of 55656 is about 38.1801236106.

Subtracting 55656 from its reverse (65655), we obtain a palindrome (9999).

The spelling of 55656 in words is "fifty-five thousand, six hundred fifty-six".