329940 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 79488.

The previous prime is 329899. The next prime is 329941. The reversal of 329940 is 49923.

329940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329941) by changing a digit.

329940 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 31 ways as a sum of consecutive naturals, for example, 6997 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2³²⁹⁹⁴⁰ is an apocalyptic number.

329940 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 329940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

329940 is an abundant number, since it is smaller than the sum of its proper divisors (799020).

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

329940 is a wasteful number, since it uses less digits than its factorization.

329940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 329940 is about 574.4040389830. The cubic root of 329940 is about 69.1000439110.

The spelling of 329940 in words is "three hundred twenty-nine thousand, nine hundred forty".