820733064 has 16 divisors (see below), whose sum is σ = 2051832720. Its totient is φ = 273577680.

The previous prime is 820733059. The next prime is 820733077. The reversal of 820733064 is 460337028.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17098582 + ... + 17098629.

It is an arithmetic number, because the mean of its divisors is an integer number (128239545).

Almost surely, 2^820733064 is an apocalyptic number.

It is an amenable number.

820733064 is an abundant number, since it is smaller than the sum of its proper divisors (1231099656).

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

820733064 is a wasteful number, since it uses less digits than its factorization.

820733064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34197220 (or 34197216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 820733064 is about 28648.4391197845. The cubic root of 820733064 is about 936.2689982200.

The spelling of 820733064 in words is "eight hundred twenty million, seven hundred thirty-three thousand, sixty-four".