329664 has 56 divisors (see below), whose sum is σ = 932688. Its totient is φ = 102400.

The previous prime is 329663. The next prime is 329671. The reversal of 329664 is 466923.

It is a d-powerful number, because it can be written as 3³ + 2¹³ + 6² + 9⁵ + 6³ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329663) 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 7 ways as a sum of consecutive naturals, for example, 3214 + ... + 3314.

2³²⁹⁶⁶⁴ is an apocalyptic number.

329664 is a gapful number since it is divisible by the number (34) 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 329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466344).

329664 is an abundant number, since it is smaller than the sum of its proper divisors (603024).

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

329664 is a wasteful number, since it uses less digits than its factorization.

329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 329664 is about 574.1637397119. The cubic root of 329664 is about 69.0807707780.

The spelling of 329664 in words is "three hundred twenty-nine thousand, six hundred sixty-four".