55368 has 24 divisors (see below), whose sum is σ = 150150. Its totient is φ = 18432.

The previous prime is 55351. The next prime is 55373. The reversal of 55368 is 86355.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 6084 = 222^2 + 78^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

55368 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, 313 + ... + 456.

2⁵⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

55368 is an abundant number, since it is smaller than the sum of its proper divisors (94782).

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

55368 is a wasteful number, since it uses less digits than its factorization.

55368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55368 is about 235.3040586135. The cubic root of 55368 is about 38.1141535032.

The spelling of 55368 in words is "fifty-five thousand, three hundred sixty-eight".