256827834 has 80 divisors (see below), whose sum is σ = 595900800. Its totient is φ = 82627776.

The previous prime is 256827829. The next prime is 256827887. The reversal of 256827834 is 438728652.

256827834 is a `hidden beast` number, since 2 + 568 + 2 + 7 + 83 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 256827834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 677457 + ... + 677835.

It is an arithmetic number, because the mean of its divisors is an integer number (7448760).

Almost surely, 2^256827834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256827834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297950400).

256827834 is an abundant number, since it is smaller than the sum of its proper divisors (339072966).

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

256827834 is a wasteful number, since it uses less digits than its factorization.

256827834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 256827834 is about 16025.8489322719. The cubic root of 256827834 is about 635.6441138169.

The spelling of 256827834 in words is "two hundred fifty-six million, eight hundred twenty-seven thousand, eight hundred thirty-four".