831664656 has 120 divisors (see below), whose sum is σ = 2464038720. Its totient is φ = 261128448.

The previous prime is 831664643. The next prime is 831664681. The reversal of 831664656 is 656466138.

It is a super-2 number, since 2×831664656² = 1383332200079196672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538221 + ... + 539763.

It is an arithmetic number, because the mean of its divisors is an integer number (20533656).

Almost surely, 2^831664656 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 831664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232019360).

831664656 is an abundant number, since it is smaller than the sum of its proper divisors (1632374064).

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

831664656 is a wasteful number, since it uses less digits than its factorization.

831664656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1764 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 831664656 is about 28838.5966371459. The cubic root of 831664656 is about 940.4074949695.

The spelling of 831664656 in words is "eight hundred thirty-one million, six hundred sixty-four thousand, six hundred fifty-six".