816116736 has 88 divisors (see below), whose sum is σ = 2195432064. Its totient is φ = 269516800.

The previous prime is 816116687. The next prime is 816116759. The reversal of 816116736 is 637611618.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 816116694 and 816116703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345961 + ... + 348311.

Almost surely, 2^816116736 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 816116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097716032).

816116736 is an abundant number, since it is smaller than the sum of its proper divisors (1379315328).

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

816116736 is a wasteful number, since it uses less digits than its factorization.

816116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2469 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 816116736 is about 28567.7569297976. The cubic root of 816116736 is about 934.5103047363.

The spelling of 816116736 in words is "eight hundred sixteen million, one hundred sixteen thousand, seven hundred thirty-six".