55686 has 8 divisors (see below), whose sum is σ = 111384. Its totient is φ = 18560.

The previous prime is 55681. The next prime is 55691. The reversal of 55686 is 68655.

55686 is digitally balanced in base 2, because in such base 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 (55681) and next prime (55691).

It is a sphenic number, since it is the product of 3 distinct primes.

55686 is an admirable number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

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

55686 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 3 ways as a sum of consecutive naturals, for example, 4635 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2⁵⁵⁶⁸⁶ is an apocalyptic number.

55686 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55692).

55686 is a wasteful number, since it uses less digits than its factorization.

55686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286.

The product of its digits is 7200, while the sum is 30.

The square root of 55686 is about 235.9788126083. The cubic root of 55686 is about 38.1869823978.

It can be divided in two parts, 55 and 686, that added together give a triangular number (741 = T₃₈).

The spelling of 55686 in words is "fifty-five thousand, six hundred eighty-six".