816825384 has 80 divisors (see below), whose sum is σ = 2422480500. Its totient is φ = 256255488.

The previous prime is 816825353. The next prime is 816825391. The reversal of 816825384 is 483528618.

It can be written as a sum of positive squares in 2 ways, for example, as 783440100 + 33385284 = 27990^2 + 5778^2 .

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 19 ways as a sum of consecutive naturals, for example, 26059 + ... + 48090.

Almost surely, 2^816825384 is an apocalyptic number.

It is an amenable number.

816825384 is an abundant number, since it is smaller than the sum of its proper divisors (1605655116).

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

816825384 is a wasteful number, since it uses less digits than its factorization.

816825384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74184 (or 74171 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 816825384 is about 28580.1571724160. The cubic root of 816825384 is about 934.7807102000.

The spelling of 816825384 in words is "eight hundred sixteen million, eight hundred twenty-five thousand, three hundred eighty-four".