56268 has 24 divisors (see below), whose sum is σ = 146160. Its totient is φ = 18720.

The previous prime is 56267. The next prime is 56269. The reversal of 56268 is 86265.

56268 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (56267) and next prime (56269).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (56263) 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, 153 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (6090).

2⁵⁶²⁶⁸ is an apocalyptic number.

It is an amenable number.

56268 is an abundant number, since it is smaller than the sum of its proper divisors (89892).

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 (73080).

56268 is a wasteful number, since it uses less digits than its factorization.

56268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56268 is about 237.2087688092. The cubic root of 56268 is about 38.3195581674.

It can be divided in two parts, 562 and 68, that added together give a triangular number (630 = T₃₅).

The spelling of 56268 in words is "fifty-six thousand, two hundred sixty-eight".