816508040 has 32 divisors (see below), whose sum is σ = 1838511000. Its totient is φ = 326360064.

The previous prime is 816508013. The next prime is 816508057. The reversal of 816508040 is 40805618.

It can be written as a sum of positive squares in 4 ways, for example, as 685497124 + 131010916 = 26182^2 + 11446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 816507988 and 816508006.

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 7 ways as a sum of consecutive naturals, for example, 52706 + ... + 66414.

Almost surely, 2^816508040 is an apocalyptic number.

It is an amenable number.

816508040 is an abundant number, since it is smaller than the sum of its proper divisors (1022002960).

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

816508040 is a wasteful number, since it uses less digits than its factorization.

816508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 816508040 is about 28574.6048091658. The cubic root of 816508040 is about 934.6596376180.

The spelling of 816508040 in words is "eight hundred sixteen million, five hundred eight thousand, forty".