820983168 has 256 divisors, whose sum is σ = 2558976000. Its totient is φ = 258785280.

The previous prime is 820983161. The next prime is 820983209. The reversal of 820983168 is 861389028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820983161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8463696 + ... + 8463792.

It is an arithmetic number, because the mean of its divisors is an integer number (9996000).

Almost surely, 2^820983168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279488000).

820983168 is an abundant number, since it is smaller than the sum of its proper divisors (1737992832).

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

820983168 is a wasteful number, since it uses less digits than its factorization.

820983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 820983168 is about 28652.8038418581. The cubic root of 820983168 is about 936.3640924107.

The spelling of 820983168 in words is "eight hundred twenty million, nine hundred eighty-three thousand, one hundred sixty-eight".