820847006 has 32 divisors (see below), whose sum is σ = 1568367360. Its totient is φ = 313670016.

The previous prime is 820847003. The next prime is 820847021. The reversal of 820847006 is 600748028.

820847006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820847003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86240 + ... + 95283.

It is an arithmetic number, because the mean of its divisors is an integer number (49011480).

Almost surely, 2^820847006 is an apocalyptic number.

820847006 is a deficient number, since it is larger than the sum of its proper divisors (747520354).

820847006 is a wasteful number, since it uses less digits than its factorization.

820847006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181568.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 820847006 is about 28650.4276756910. The cubic root of 820847006 is about 936.3123234822.

The spelling of 820847006 in words is "eight hundred twenty million, eight hundred forty-seven thousand, six".