804967688 has 36 divisors (see below), whose sum is σ = 1756959165. Its totient is φ = 344745408.

The previous prime is 804967687. The next prime is 804967711. The reversal of 804967688 is 886769408.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 705327364 + 99640324 = 26558^2 + 9982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20062.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (804967687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 561020 + ... + 562452.

Almost surely, 2^804967688 is an apocalyptic number.

It is an amenable number.

804967688 is an abundant number, since it is smaller than the sum of its proper divisors (951991477).

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

804967688 is an equidigital number, since it uses as much as digits as its factorization.

804967688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 804967688 is about 28371.9524883290. The cubic root of 804967688 is about 930.2353002333.

The spelling of 804967688 in words is "eight hundred four million, nine hundred sixty-seven thousand, six hundred eighty-eight".