329820 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 83776.

The previous prime is 329803. The next prime is 329863. The reversal of 329820 is 28923.

It is a congruent number.

It is an unprimeable number.

329820 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 15 ways as a sum of consecutive naturals, for example, 1261 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³²⁹⁸²⁰ is an apocalyptic number.

329820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

329820 is an abundant number, since it is smaller than the sum of its proper divisors (637860).

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

329820 is a wasteful number, since it uses less digits than its factorization.

329820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 329820 is about 574.2995733935. The cubic root of 329820 is about 69.0916656091.

The spelling of 329820 in words is "three hundred twenty-nine thousand, eight hundred twenty".