820321344 has 84 divisors (see below), whose sum is σ = 2438434544. Its totient is φ = 273435264.

The previous prime is 820321331. The next prime is 820321361. The reversal of 820321344 is 443123028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10822 + ... + 41925.

Almost surely, 2^820321344 is an apocalyptic number.

It is an amenable number.

820321344 is an abundant number, since it is smaller than the sum of its proper divisors (1618113200).

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

820321344 is an equidigital number, since it uses as much as digits as its factorization.

820321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52774 (or 52752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 820321344 is about 28641.2524865796. The cubic root of 820321344 is about 936.1124125343.

The spelling of 820321344 in words is "eight hundred twenty million, three hundred twenty-one thousand, three hundred forty-four".