829327368 has 64 divisors (see below), whose sum is σ = 2107607040. Its totient is φ = 271901504.

The previous prime is 829327363. The next prime is 829327379. The reversal of 829327368 is 863723928.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (829327363) 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 15 ways as a sum of consecutive naturals, for example, 523105 + ... + 524687.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^829327368 is an apocalyptic number.

It is an amenable number.

829327368 is an abundant number, since it is smaller than the sum of its proper divisors (1278279672).

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

829327368 is a wasteful number, since it uses less digits than its factorization.

829327368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 829327368 is about 28798.0445169459. The cubic root of 829327368 is about 939.5257030807.

The spelling of 829327368 in words is "eight hundred twenty-nine million, three hundred twenty-seven thousand, three hundred sixty-eight".