820364 has 24 divisors (see below), whose sum is σ = 1544928. Its totient is φ = 380160.

The previous prime is 820361. The next prime is 820367. The reversal of 820364 is 463028.

It is a happy number.

820364 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (820361) and next prime (820367).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820364.

It is not an unprimeable number, because it can be changed into a prime (820361) by changing a digit.

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, 3284 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (64372).

2⁸²⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

820364 is a deficient number, since it is larger than the sum of its proper divisors (724564).

820364 is a wasteful number, since it uses less digits than its factorization.

820364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 820364 is about 905.7394768917. The cubic root of 820364 is about 93.6128637932.

The spelling of 820364 in words is "eight hundred twenty thousand, three hundred sixty-four".