256368 has 60 divisors (see below), whose sum is σ = 777480. Its totient is φ = 72576.

The previous prime is 256363. The next prime is 256369. The reversal of 256368 is 863652.

256368 is nontrivially palindromic in base 13.

It is a d-powerful number, because it can be written as 2⁹ + 5⁷ + 3¹¹ + 6² + 6² + 8³ .

256368 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256363) by changing a digit.

256368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2298 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (12958).

2²⁵⁶³⁶⁸ is an apocalyptic number.

256368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388740).

256368 is an abundant number, since it is smaller than the sum of its proper divisors (521112).

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

256368 is a wasteful number, since it uses less digits than its factorization.

256368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 256368 is about 506.3279569607. The cubic root of 256368 is about 63.5264526985.

The spelling of 256368 in words is "two hundred fifty-six thousand, three hundred sixty-eight".