829012968 has 192 divisors, whose sum is σ = 2714659200. Its totient is φ = 236615904.

The previous prime is 829012957. The next prime is 829012979. The reversal of 829012968 is 869210928.

It is an interprime number because it is at equal distance from previous prime (829012957) and next prime (829012979).

It is a super-2 number, since 2×829012968² = 1374525002224338048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856821 + ... + 857787.

It is an arithmetic number, because the mean of its divisors is an integer number (14138850).

Almost surely, 2^829012968 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 829012968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357329600).

829012968 is an abundant number, since it is smaller than the sum of its proper divisors (1885646232).

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

829012968 is an equidigital number, since it uses as much as digits as its factorization.

829012968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 829012968 is about 28792.5852955236. The cubic root of 829012968 is about 939.4069625899.

The spelling of 829012968 in words is "eight hundred twenty-nine million, twelve thousand, nine hundred sixty-eight".