820984256 has 28 divisors (see below), whose sum is σ = 1631109768. Its totient is φ = 409996032.

The previous prime is 820984249. The next prime is 820984321. The reversal of 820984256 is 652489028.

820984256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48815 + ... + 63441.

Almost surely, 2^820984256 is an apocalyptic number.

It is an amenable number.

820984256 is a deficient number, since it is larger than the sum of its proper divisors (810125512).

820984256 is a wasteful number, since it uses less digits than its factorization.

820984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 820984256 is about 28652.8228277774. The cubic root of 820984256 is about 936.3645060464.

The spelling of 820984256 in words is "eight hundred twenty million, nine hundred eighty-four thousand, two hundred fifty-six".