819399168 has 360 divisors, whose sum is σ = 2910885120. Its totient is φ = 220631040.

The previous prime is 819399131. The next prime is 819399179. The reversal of 819399168 is 861993918.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4289953 + ... + 4290143.

It is an arithmetic number, because the mean of its divisors is an integer number (8085792).

Almost surely, 2^819399168 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 819399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

819399168 is an abundant number, since it is smaller than the sum of its proper divisors (2091485952).

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

819399168 is a wasteful number, since it uses less digits than its factorization.

819399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 819399168 is about 28625.1492223185. The cubic root of 819399168 is about 935.7614996103.

The spelling of 819399168 in words is "eight hundred nineteen million, three hundred ninety-nine thousand, one hundred sixty-eight".