329088 has 32 divisors (see below), whose sum is σ = 875160. Its totient is φ = 109568.

The previous prime is 329083. The next prime is 329089. The reversal of 329088 is 880923.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329081) by changing a digit.

329088 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, 45 + ... + 812.

2³²⁹⁰⁸⁸ 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 329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437580).

329088 is an abundant number, since it is smaller than the sum of its proper divisors (546072).

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

329088 is an equidigital number, since it uses as much as digits as its factorization.

329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 329088 is about 573.6619213439. The cubic root of 329088 is about 69.0405139094.

The spelling of 329088 in words is "three hundred twenty-nine thousand, eighty-eight".