329604 has 36 divisors (see below), whose sum is σ = 849072. Its totient is φ = 99440.

The previous prime is 329603. The next prime is 329617. The reversal of 329604 is 406923.

329604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3 + 2¹³ + 6³ + 9⁵ + 0 + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (329603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 1565.

2³²⁹⁶⁰⁴ 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 329604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424536).

329604 is an abundant number, since it is smaller than the sum of its proper divisors (519468).

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

329604 is a wasteful number, since it uses less digits than its factorization.

329604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 329604 is about 574.1114874308. Note that the first 3 decimals coincide. The cubic root of 329604 is about 69.0765795431.

The spelling of 329604 in words is "three hundred twenty-nine thousand, six hundred four".