816819264 has 84 divisors (see below), whose sum is σ = 2479016124. Its totient is φ = 256253952.

The previous prime is 816819259. The next prime is 816819293. The reversal of 816819264 is 462918618.

It can be written as a sum of positive squares in 2 ways, for example, as 315417600 + 501401664 = 17760^2 + 22392^2 .

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 31917 + ... + 51500.

Almost surely, 2^816819264 is an apocalyptic number.

It is an amenable number.

816819264 is an abundant number, since it is smaller than the sum of its proper divisors (1662196860).

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

816819264 is a wasteful number, since it uses less digits than its factorization.

816819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83452 (or 83439 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 816819264 is about 28580.0501049246. The cubic root of 816819264 is about 934.7783756038.

The spelling of 816819264 in words is "eight hundred sixteen million, eight hundred nineteen thousand, two hundred sixty-four".