816749568 has 220 divisors, whose sum is σ = 2506592440. Its totient is φ = 264757248.

The previous prime is 816749519. The next prime is 816749569. The reversal of 816749568 is 865947618.

816749568 is a `hidden beast` number, since 8 + 1 + 6 + 74 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816749569) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3566478 + ... + 3566706.

It is an arithmetic number, because the mean of its divisors is an integer number (11393602).

Almost surely, 2^816749568 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 816749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253296220).

816749568 is an abundant number, since it is smaller than the sum of its proper divisors (1689842872).

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

816749568 is a wasteful number, since it uses less digits than its factorization.

816749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 816749568 is about 28578.8307668456. The cubic root of 816749568 is about 934.7517878507.

The spelling of 816749568 in words is "eight hundred sixteen million, seven hundred forty-nine thousand, five hundred sixty-eight".