256536 has 48 divisors (see below), whose sum is σ = 795600. Its totient is φ = 73152.

The previous prime is 256517. The next prime is 256541. The reversal of 256536 is 635652.

256536 is a `hidden beast` number, since 2 + 5 + 653 + 6 = 666.

256536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

256536 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, 250 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2²⁵⁶⁵³⁶ 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 256536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800).

256536 is an abundant number, since it is smaller than the sum of its proper divisors (539064).

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

256536 is a wasteful number, since it uses less digits than its factorization.

256536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 256536 is about 506.4938301697. The cubic root of 256536 is about 63.5403261325.

It can be divided in two parts, 2565 and 36, that added together give a square (2601 = 51²).

The spelling of 256536 in words is "two hundred fifty-six thousand, five hundred thirty-six".