820268 has 24 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 378000.

The previous prime is 820247. The next prime is 820271. The reversal of 820268 is 862028.

It is a nialpdrome in base 7.

It is an unprimeable number.

820268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3143 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

2⁸²⁰²⁶⁸ is an apocalyptic number.

It is an amenable number.

820268 is a deficient number, since it is larger than the sum of its proper divisors (732052).

820268 is a wasteful number, since it uses less digits than its factorization.

820268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 820268 is about 905.6864799698. The cubic root of 820268 is about 93.6092120867.

The spelling of 820268 in words is "eight hundred twenty thousand, two hundred sixty-eight".