820727684 has 24 divisors (see below), whose sum is σ = 1672429248. Its totient is φ = 345103200.

The previous prime is 820727641. The next prime is 820727711. The reversal of 820727684 is 486727028.

820727684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275042 + ... + 278009.

It is an arithmetic number, because the mean of its divisors is an integer number (69684552).

Almost surely, 2^820727684 is an apocalyptic number.

It is an amenable number.

820727684 is an abundant number, since it is smaller than the sum of its proper divisors (851701564).

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

820727684 is a wasteful number, since it uses less digits than its factorization.

820727684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553115 (or 553113 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 820727684 is about 28648.3452227175. The cubic root of 820727684 is about 936.2669524317.

The spelling of 820727684 in words is "eight hundred twenty million, seven hundred twenty-seven thousand, six hundred eighty-four".