56168 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 22272.

The previous prime is 56167. The next prime is 56171. The reversal of 56168 is 86165.

It is a Cunningham number, because it is equal to 237²-1.

56168 is a modest number, since divided by 168 gives 56 as remainder.

It is not an unprimeable number, because it can be changed into a prime (56167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁶¹⁶⁸ 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 56168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

56168 is an abundant number, since it is smaller than the sum of its proper divisors (73432).

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

56168 is a wasteful number, since it uses less digits than its factorization.

56168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 56168 is about 236.9978902860. The cubic root of 56168 is about 38.2968440841.

The spelling of 56168 in words is "fifty-six thousand, one hundred sixty-eight".