329040 has 60 divisors (see below), whose sum is σ = 1107444. Its totient is φ = 87552.

The previous prime is 329027. The next prime is 329053. The reversal of 329040 is 40923.

It is an interprime number because it is at equal distance from previous prime (329027) and next prime (329053).

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 121104 = 456^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 4.

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 329040.

It is an unprimeable number.

329040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492 + ... + 948.

2³²⁹⁰⁴⁰ is an apocalyptic number.

329040 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 329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553722).

329040 is an abundant number, since it is smaller than the sum of its proper divisors (778404).

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

329040 is a wasteful number, since it uses less digits than its factorization.

329040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 329040 is about 573.6200833304. The cubic root of 329040 is about 69.0371570507.

Adding to 329040 its reverse (40923), we get a palindrome (369963).

The spelling of 329040 in words is "three hundred twenty-nine thousand, forty".