329886 has 32 divisors (see below), whose sum is σ = 756000. Its totient is φ = 106560.

The previous prime is 329873. The next prime is 329891. The reversal of 329886 is 688923.

329886 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 329886.

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 329886.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2³²⁹⁸⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

329886 is an abundant number, since it is smaller than the sum of its proper divisors (426114).

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

329886 is a wasteful number, since it uses less digits than its factorization.

329886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 329886 is about 574.3570318191. The cubic root of 329886 is about 69.0962739266.

The spelling of 329886 in words is "three hundred twenty-nine thousand, eight hundred eighty-six".