806832306 has 64 divisors (see below), whose sum is σ = 2096793600. Its totient is φ = 225157968.

The previous prime is 806832289. The next prime is 806832329. The reversal of 806832306 is 603238608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8566 + ... + 41073.

It is an arithmetic number, because the mean of its divisors is an integer number (32762400).

Almost surely, 2^806832306 is an apocalyptic number.

806832306 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

806832306 is an abundant number, since it is smaller than the sum of its proper divisors (1289961294).

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

806832306 is a wasteful number, since it uses less digits than its factorization.

806832306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49700 (or 49694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 806832306 is about 28404.7937151460. The cubic root of 806832306 is about 930.9530085120.

It can be divided in two parts, 80 and 6832306, that added together give a palindrome (6832386).

The spelling of 806832306 in words is "eight hundred six million, eight hundred thirty-two thousand, three hundred six".