820996 has 24 divisors (see below), whose sum is σ = 1604736. Its totient is φ = 364320.

The previous prime is 820991. The next prime is 820997. The reversal of 820996 is 699028.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820996.

It is not an unprimeable number, because it can be changed into a prime (820991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1870 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (66864).

2⁸²⁰⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

820996 is a deficient number, since it is larger than the sum of its proper divisors (783740).

820996 is a wasteful number, since it uses less digits than its factorization.

820996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 820996 is about 906.0882959182. The cubic root of 820996 is about 93.6368970855.

The spelling of 820996 in words is "eight hundred twenty thousand, nine hundred ninety-six".