829089324 has 192 divisors, whose sum is σ = 2534138880. Its totient is φ = 229547520.

The previous prime is 829089293. The next prime is 829089347. The reversal of 829089324 is 423980928.

829089324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 829089324.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4580514 + ... + 4580694.

It is an arithmetic number, because the mean of its divisors is an integer number (13198640).

Almost surely, 2^829089324 is an apocalyptic number.

829089324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829089324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267069440).

829089324 is an abundant number, since it is smaller than the sum of its proper divisors (1705049556).

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

829089324 is a wasteful number, since it uses less digits than its factorization.

829089324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 829089324 is about 28793.9112313697. The cubic root of 829089324 is about 939.4358029735.

The spelling of 829089324 in words is "eight hundred twenty-nine million, eighty-nine thousand, three hundred twenty-four".