256768 has 36 divisors (see below), whose sum is σ = 551880. Its totient is φ = 118784.

The previous prime is 256757. The next prime is 256771. The reversal of 256768 is 867652.

It is a Harshad number since it is a multiple of its sum of digits (34).

256768 is a modest number, since divided by 768 gives 256 as remainder.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4323 + ... + 4381.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2²⁵⁶⁷⁶⁸ 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 256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275940).

256768 is an abundant number, since it is smaller than the sum of its proper divisors (295112).

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

256768 is an equidigital number, since it uses as much as digits as its factorization.

256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 256768 is about 506.7228039076. The cubic root of 256768 is about 63.5594747304.

It can be divided in two parts, 256 and 768, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 256768 in words is "two hundred fifty-six thousand, seven hundred sixty-eight".