829209616 has 45 divisors (see below), whose sum is σ = 1684865469. Its totient is φ = 395311488.

The previous prime is 829209611. The next prime is 829209617. The reversal of 829209616 is 616902928.

The square root of 829209616 is 28796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5290000 + 823919616 = 2300^2 + 28704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829209611) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2649076 + ... + 2649388.

Almost surely, 2^829209616 is an apocalyptic number.

829209616 is the 28796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829209616

829209616 is an abundant number, since it is smaller than the sum of its proper divisors (855655853).

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

829209616 is an equidigital number, since it uses as much as digits as its factorization.

829209616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 829209616 is about 939.4812348079.

The spelling of 829209616 in words is "eight hundred twenty-nine million, two hundred nine thousand, six hundred sixteen".