820338624 has 112 divisors (see below), whose sum is σ = 2756204800. Its totient is φ = 234379008.

The previous prime is 820338583. The next prime is 820338643. The reversal of 820338624 is 426833028.

820338624 is a `hidden beast` number, since 8 + 20 + 3 + 3 + 8 + 624 = 666.

820338624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21814 + ... + 46005.

Almost surely, 2^820338624 is an apocalyptic number.

820338624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

820338624 is an abundant number, since it is smaller than the sum of its proper divisors (1935866176).

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

820338624 is a wasteful number, since it uses less digits than its factorization.

820338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67847 (or 67831 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 820338624 is about 28641.5541477763. The cubic root of 820338624 is about 936.1189855312.

The spelling of 820338624 in words is "eight hundred twenty million, three hundred thirty-eight thousand, six hundred twenty-four".