829009368 has 192 divisors, whose sum is σ = 2611440000. Its totient is φ = 234938880.

The previous prime is 829009351. The next prime is 829009373. The reversal of 829009368 is 863900928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338963 + ... + 1339581.

It is an arithmetic number, because the mean of its divisors is an integer number (13601250).

Almost surely, 2^829009368 is an apocalyptic number.

829009368 is a gapful number since it is divisible by the number (88) 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 829009368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720000).

829009368 is an abundant number, since it is smaller than the sum of its proper divisors (1782430632).

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

829009368 is a wasteful number, since it uses less digits than its factorization.

829009368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 829009368 is about 28792.5227793606. The cubic root of 829009368 is about 939.4056027921.

The spelling of 829009368 in words is "eight hundred twenty-nine million, nine thousand, three hundred sixty-eight".