816485568 has 56 divisors (see below), whose sum is σ = 2179460208. Its totient is φ = 269746176.

The previous prime is 816485563. The next prime is 816485573. The reversal of 816485568 is 865584618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816485563) and next prime (816485573).

It is a self number, because there is not a number n which added to its sum of digits gives 816485568.

It is not an unprimeable number, because it can be changed into a prime (816485563) 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 7 ways as a sum of consecutive naturals, for example, 2880 + ... + 40512.

Almost surely, 2^816485568 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 816485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089730104).

816485568 is an abundant number, since it is smaller than the sum of its proper divisors (1362974640).

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

816485568 is a wasteful number, since it uses less digits than its factorization.

816485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37761 (or 37751 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The square root of 816485568 is about 28574.2115901734. The cubic root of 816485568 is about 934.6510629468.

The spelling of 816485568 in words is "eight hundred sixteen million, four hundred eighty-five thousand, five hundred sixty-eight".