329824 has 24 divisors (see below), whose sum is σ = 709128. Its totient is φ = 149760.

The previous prime is 329803. The next prime is 329863. The reversal of 329824 is 428923.

It is a junction number, because it is equal to n+sod(n) for n = 329792 and 329801.

It is a congruent number.

It is an unprimeable number.

329824 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (29547).

2³²⁹⁸²⁴ is an apocalyptic number.

It is an amenable number.

329824 is an abundant number, since it is smaller than the sum of its proper divisors (379304).

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

329824 is a wasteful number, since it uses less digits than its factorization.

329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 329824 is about 574.3030558860. The cubic root of 329824 is about 69.0919449186.

Subtracting 329824 from its reverse (428923), we obtain a palindrome (99099).

The spelling of 329824 in words is "three hundred twenty-nine thousand, eight hundred twenty-four".