56368 has 20 divisors (see below), whose sum is σ = 118048. Its totient is φ = 25920.

The previous prime is 56359. The next prime is 56369. The reversal of 56368 is 86365.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 343.

2⁵⁶³⁶⁸ 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 56368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59024).

56368 is an abundant number, since it is smaller than the sum of its proper divisors (61680).

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

56368 is a wasteful number, since it uses less digits than its factorization.

56368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 56368 is about 237.4194600280. The cubic root of 56368 is about 38.3422453549.

It can be divided in two parts, 56 and 368, that added together give a palindrome (424).

The spelling of 56368 in words is "fifty-six thousand, three hundred sixty-eight".