329688 has 48 divisors (see below), whose sum is σ = 943800. Its totient is φ = 103680.

The previous prime is 329687. The next prime is 329711. The reversal of 329688 is 886923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

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 329688.

It is not an unprimeable number, because it can be changed into a prime (329683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 1488.

2³²⁹⁶⁸⁸ is an apocalyptic number.

329688 is a gapful number since it is divisible by the number (38) 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 329688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471900).

329688 is an abundant number, since it is smaller than the sum of its proper divisors (614112).

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

329688 is a wasteful number, since it uses less digits than its factorization.

329688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

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

The square root of 329688 is about 574.1846392930. The cubic root of 329688 is about 69.0824471295.

The spelling of 329688 in words is "three hundred twenty-nine thousand, six hundred eighty-eight".