256938 has 32 divisors (see below), whose sum is σ = 596160. Its totient is φ = 72960.

The previous prime is 256931. The next prime is 256939. The reversal of 256938 is 839652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 256899 and 256908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256938.

It is not an unprimeable number, because it can be changed into a prime (256931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2²⁵⁶⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298080).

256938 is an abundant number, since it is smaller than the sum of its proper divisors (339222).

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

256938 is a wasteful number, since it uses less digits than its factorization.

256938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262.

The product of its digits is 12960, while the sum is 33.

The square root of 256938 is about 506.8905207242. The cubic root of 256938 is about 63.5734987092.

The spelling of 256938 in words is "two hundred fifty-six thousand, nine hundred thirty-eight".