816293568 has 56 divisors (see below), whose sum is σ = 2173110208. Its totient is φ = 270418176.

The previous prime is 816293567. The next prime is 816293579. The reversal of 816293568 is 865392618.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (816293563) 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 7 ways as a sum of consecutive naturals, for example, 18255 + ... + 44337.

Almost surely, 2^816293568 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 816293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086555104).

816293568 is an abundant number, since it is smaller than the sum of its proper divisors (1356816640).

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

816293568 is a wasteful number, since it uses less digits than its factorization.

816293568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26261 (or 26251 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 816293568 is about 28570.8517198910. The cubic root of 816293568 is about 934.5777948331.

The spelling of 816293568 in words is "eight hundred sixteen million, two hundred ninety-three thousand, five hundred sixty-eight".