816916392 has 96 divisors (see below), whose sum is σ = 2346814080. Its totient is φ = 256164480.

The previous prime is 816916367. The next prime is 816916409. The reversal of 816916392 is 293619618.

It is a happy number.

816916392 is a `hidden beast` number, since 8 + 1 + 6 + 9 + 1 + 639 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 96973 + ... + 105059.

It is an arithmetic number, because the mean of its divisors is an integer number (24445980).

Almost surely, 2^816916392 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 816916392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173407040).

816916392 is an abundant number, since it is smaller than the sum of its proper divisors (1529897688).

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

816916392 is a wasteful number, since it uses less digits than its factorization.

816916392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8176 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 816916392 is about 28581.7492816657. The cubic root of 816916392 is about 934.8154256423.

The spelling of 816916392 in words is "eight hundred sixteen million, nine hundred sixteen thousand, three hundred ninety-two".