813920 has 24 divisors (see below), whose sum is σ = 1923264. Its totient is φ = 325504.

The previous prime is 813907. The next prime is 813931. The reversal of 813920 is 29318.

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 813920.

It is an unprimeable number.

813920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2384 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

2⁸¹³⁹²⁰ is an apocalyptic number.

813920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813920 is an abundant number, since it is smaller than the sum of its proper divisors (1109344).

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

813920 is a wasteful number, since it uses less digits than its factorization.

813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 813920 is about 902.1751492920. The cubic root of 813920 is about 93.3671079579.

The spelling of 813920 in words is "eight hundred thirteen thousand, nine hundred twenty".