820968 has 32 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 269568.

The previous prime is 820957. The next prime is 820969. The reversal of 820968 is 869028.

It is not an unprimeable number, because it can be changed into a prime (820969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680 + ... + 2112.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2⁸²⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

820968 is an abundant number, since it is smaller than the sum of its proper divisors (1262232).

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

820968 is a wasteful number, since it uses less digits than its factorization.

820968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 820968 is about 906.0728447537. The cubic root of 820968 is about 93.6358325805.

The spelling of 820968 in words is "eight hundred twenty thousand, nine hundred sixty-eight".