809844168 has 192 divisors, whose sum is σ = 2495232000. Its totient is φ = 217945728.

The previous prime is 809844149. The next prime is 809844179. The reversal of 809844168 is 861448908.

It is a super-2 number, since 2×809844168² = 1311695152887224448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136603 + ... + 2136981.

It is an arithmetic number, because the mean of its divisors is an integer number (12996000).

Almost surely, 2^809844168 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 809844168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247616000).

809844168 is an abundant number, since it is smaller than the sum of its proper divisors (1685387832).

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

809844168 is a wasteful number, since it uses less digits than its factorization.

809844168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 809844168 is about 28457.7611206504. The cubic root of 809844168 is about 932.1099694021.

The spelling of 809844168 in words is "eight hundred nine million, eight hundred forty-four thousand, one hundred sixty-eight".