829960 has 16 divisors (see below), whose sum is σ = 1867500. Its totient is φ = 331968.

The previous prime is 829949. The next prime is 829967. The reversal of 829960 is 69928.

It can be written as a sum of positive squares in 2 ways, for example, as 715716 + 114244 = 846^2 + 338^2 .

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

829960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 10335 + ... + 10414.

2⁸²⁹⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

829960 is an abundant number, since it is smaller than the sum of its proper divisors (1037540).

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

829960 is a wasteful number, since it uses less digits than its factorization.

829960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20760 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 829960 is about 911.0214047979. The cubic root of 829960 is about 93.9764540391.

The spelling of 829960 in words is "eight hundred twenty-nine thousand, nine hundred sixty".