256968 has 48 divisors (see below), whose sum is σ = 720720. Its totient is φ = 82656.

The previous prime is 256967. The next prime is 256981. The reversal of 256968 is 869652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (256967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3055 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2²⁵⁶⁹⁶⁸ 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 256968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

256968 is an abundant number, since it is smaller than the sum of its proper divisors (463752).

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

256968 is a wasteful number, since it uses less digits than its factorization.

256968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 256968 is about 506.9201120492. The cubic root of 256968 is about 63.5759728868.

The spelling of 256968 in words is "two hundred fifty-six thousand, nine hundred sixty-eight".