829668 has 72 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 220416.

The previous prime is 829657. The next prime is 829687. The reversal of 829668 is 866928.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829668.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9955 + ... + 10037.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁸²⁹⁶⁶⁸ 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 829668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

829668 is an abundant number, since it is smaller than the sum of its proper divisors (1583484).

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

829668 is a wasteful number, since it uses less digits than its factorization.

829668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 829668 is about 910.8611310183. The cubic root of 829668 is about 93.9654316833.

The spelling of 829668 in words is "eight hundred twenty-nine thousand, six hundred sixty-eight".