256608 has 84 divisors (see below), whose sum is σ = 826308. Its totient is φ = 77760.

The previous prime is 256603. The next prime is 256609. The reversal of 256608 is 806652.

256608 is a `hidden beast` number, since 2 + 56 + 608 = 666.

256608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 6 and base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256608.

It is not an unprimeable number, because it can be changed into a prime (256603) by changing a digit.

256608 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 13 ways as a sum of consecutive naturals, for example, 23323 + ... + 23333.

It is an arithmetic number, because the mean of its divisors is an integer number (9837).

256608 is a Friedman number, since it can be written as 6^6*(8-5/(2+0)), using all its digits and the basic arithmetic operations.

2²⁵⁶⁶⁰⁸ 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 256608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413154).

256608 is an abundant number, since it is smaller than the sum of its proper divisors (569700).

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

256608 is an equidigital number, since it uses as much as digits as its factorization.

256608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 16 counting only the distinct ones).

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

The square root of 256608 is about 506.5649020609. The cubic root of 256608 is about 63.5462700359.

The spelling of 256608 in words is "two hundred fifty-six thousand, six hundred eight".