820846334 has 128 divisors (see below), whose sum is σ = 1686528000. Its totient is φ = 298821600.

The previous prime is 820846297. The next prime is 820846349. The reversal of 820846334 is 433648028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26478899 + ... + 26478929.

It is an arithmetic number, because the mean of its divisors is an integer number (13176000).

Almost surely, 2^820846334 is an apocalyptic number.

820846334 is an abundant number, since it is smaller than the sum of its proper divisors (865681666).

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

820846334 is a wasteful number, since it uses less digits than its factorization.

820846334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 820846334 is about 28650.4159481150. The cubic root of 820846334 is about 936.3120679730.

The spelling of 820846334 in words is "eight hundred twenty million, eight hundred forty-six thousand, three hundred thirty-four".