816393168 has 100 divisors (see below), whose sum is σ = 2368936548. Its totient is φ = 271434240.

The previous prime is 816393167. The next prime is 816393187. The reversal of 816393168 is 861393618.

It is a happy number.

816393168 is a `hidden beast` number, since 8 + 1 + 639 + 3 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 501401664 + 314991504 = 22392^2 + 17748^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816393163) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 856180 + ... + 857132.

Almost surely, 2^816393168 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 816393168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184468274).

816393168 is an abundant number, since it is smaller than the sum of its proper divisors (1552543380).

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

816393168 is a wasteful number, since it uses less digits than its factorization.

816393168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 816393168 is about 28572.5947019167. The cubic root of 816393168 is about 934.6158041010.

The spelling of 816393168 in words is "eight hundred sixteen million, three hundred ninety-three thousand, one hundred sixty-eight".