329840 has 80 divisors (see below), whose sum is σ = 952320. Its totient is φ = 103680.

The previous prime is 329803. The next prime is 329863. The reversal of 329840 is 48923.

329840 = T₁₉₅ + T₁₉₆ + ... + T₂₁₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329840.

It is an unprimeable number.

329840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10625 + ... + 10655.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2³²⁹⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

329840 is an abundant number, since it is smaller than the sum of its proper divisors (622480).

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

329840 is a wasteful number, since it uses less digits than its factorization.

329840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 329840 is about 574.3169856447. The cubic root of 329840 is about 69.0930621339.

The spelling of 329840 in words is "three hundred twenty-nine thousand, eight hundred forty".