820920814 has 24 divisors (see below), whose sum is σ = 1433432808. Its totient is φ = 351575280.

The previous prime is 820920791. The next prime is 820920817. The reversal of 820920814 is 418029028.

It is a self number, because there is not a number n which added to its sum of digits gives 820920814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820920817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230592 + ... + 234124.

It is an arithmetic number, because the mean of its divisors is an integer number (59726367).

Almost surely, 2^820920814 is an apocalyptic number.

820920814 is a deficient number, since it is larger than the sum of its proper divisors (612511994).

820920814 is a wasteful number, since it uses less digits than its factorization.

820920814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 820920814 is about 28651.7157252406. The cubic root of 820920814 is about 936.3403860681.

The spelling of 820920814 in words is "eight hundred twenty million, nine hundred twenty thousand, eight hundred fourteen".