829968 has 20 divisors (see below), whose sum is σ = 2144208. Its totient is φ = 276640.

The previous prime is 829967. The next prime is 829979. The reversal of 829968 is 869928.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (829967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8598 + ... + 8693.

2⁸²⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

829968 is an abundant number, since it is smaller than the sum of its proper divisors (1314240).

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

829968 is a wasteful number, since it uses less digits than its factorization.

829968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 17296 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 829968 is about 911.0257954636. The cubic root of 829968 is about 93.9767559851.

The spelling of 829968 in words is "eight hundred twenty-nine thousand, nine hundred sixty-eight".