820204 has 24 divisors (see below), whose sum is σ = 1790208. Its totient is φ = 319440.

The previous prime is 820201. The next prime is 820213. The reversal of 820204 is 402028.

820204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (820201) 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, 1024 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (74592).

2⁸²⁰²⁰⁴ is an apocalyptic number.

It is an amenable number.

820204 is an abundant number, since it is smaller than the sum of its proper divisors (970004).

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

820204 is a wasteful number, since it uses less digits than its factorization.

820204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 820204 is about 905.6511469655. The cubic root of 820204 is about 93.6067774575.

It can be divided in two parts, 820 and 204, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 820204 in words is "eight hundred twenty thousand, two hundred four".