820920 has 32 divisors (see below), whose sum is σ = 2463120. Its totient is φ = 218880.

The previous prime is 820909. The next prime is 820921. The reversal of 820920 is 29028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820921) 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, 3301 + ... + 3540.

2⁸²⁰⁹²⁰ is an apocalyptic number.

It is an amenable number.

820920 is an abundant number, since it is smaller than the sum of its proper divisors (1642200).

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

820920 is a wasteful number, since it uses less digits than its factorization.

820920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 820920 is about 906.0463564300. The cubic root of 820920 is about 93.6340076586.

Adding to 820920 its reverse (29028), we get a palindrome (849948).

The spelling of 820920 in words is "eight hundred twenty thousand, nine hundred twenty".