329640 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 84480.

The previous prime is 329639. The next prime is 329657. The reversal of 329640 is 46923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 329640.

It is a congruent number.

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, 4887 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2³²⁹⁶⁴⁰ is an apocalyptic number.

329640 is a gapful number since it is divisible by the number (30) 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 329640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

329640 is an abundant number, since it is smaller than the sum of its proper divisors (698520).

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

329640 is a wasteful number, since it uses less digits than its factorization.

329640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

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

The square root of 329640 is about 574.1428393701. The cubic root of 329640 is about 69.0790943451.

It can be divided in two parts, 329 and 640, that added together give a palindrome (969).

The spelling of 329640 in words is "three hundred twenty-nine thousand, six hundred forty".