831968256 has 132 divisors (see below), whose sum is σ = 2580006048. Its totient is φ = 237662208.

The previous prime is 831968243. The next prime is 831968261. The reversal of 831968256 is 652869138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147765 + ... + 153291.

Almost surely, 2^831968256 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 831968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290003024).

831968256 is an abundant number, since it is smaller than the sum of its proper divisors (1748037792).

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

831968256 is a wasteful number, since it uses less digits than its factorization.

831968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5539 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 831968256 is about 28843.8599358685. The cubic root of 831968256 is about 940.5219132746.

The spelling of 831968256 in words is "eight hundred thirty-one million, nine hundred sixty-eight thousand, two hundred fifty-six".