829485568 has 40 divisors (see below), whose sum is σ = 1680130188. Its totient is φ = 409042944.

The previous prime is 829485557. The next prime is 829485577. The reversal of 829485568 is 865584928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 751198464 + 78287104 = 27408^2 + 8848^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26280 + ... + 48472.

Almost surely, 2^829485568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840065094).

829485568 is an abundant number, since it is smaller than the sum of its proper divisors (850644620).

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

829485568 is an equidigital number, since it uses as much as digits as its factorization.

829485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22284 (or 22268 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 55.

The square root of 829485568 is about 28800.7911002458. The cubic root of 829485568 is about 939.5854396504.

The spelling of 829485568 in words is "eight hundred twenty-nine million, four hundred eighty-five thousand, five hundred sixty-eight".