256535682 has 128 divisors (see below), whose sum is σ = 619315200. Its totient is φ = 70108416.

The previous prime is 256535681. The next prime is 256535687. The reversal of 256535682 is 286535652.

It is a super-2 number, since 2×256535682² = 131621112278410248, which contains 22 as substring.

Its product of digits (432000) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (256535681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2019903 + ... + 2020029.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^256535682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256535682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309657600).

256535682 is an abundant number, since it is smaller than the sum of its proper divisors (362779518).

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

256535682 is a wasteful number, since it uses less digits than its factorization.

256535682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 432000, while the sum is 42.

The square root of 256535682 is about 16016.7313144724. The cubic root of 256535682 is about 635.4029987784.

The spelling of 256535682 in words is "two hundred fifty-six million, five hundred thirty-five thousand, six hundred eighty-two".