816516192 has 192 divisors, whose sum is σ = 2353397760. Its totient is φ = 247104000.

The previous prime is 816516187. The next prime is 816516247. The reversal of 816516192 is 291615618.

It is a self number, because there is not a number n which added to its sum of digits gives 816516192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5407317 + ... + 5407467.

It is an arithmetic number, because the mean of its divisors is an integer number (12257280).

Almost surely, 2^816516192 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 816516192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176698880).

816516192 is an abundant number, since it is smaller than the sum of its proper divisors (1536881568).

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

816516192 is a wasteful number, since it uses less digits than its factorization.

816516192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 816516192 is about 28574.7474529522. The cubic root of 816516192 is about 934.6627481487.

The spelling of 816516192 in words is "eight hundred sixteen million, five hundred sixteen thousand, one hundred ninety-two".