329120 has 72 divisors (see below), whose sum is σ = 904932. Its totient is φ = 112640.

The previous prime is 329111. The next prime is 329123. The reversal of 329120 is 21923.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 1936 = 572^2 + 44^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329120.

It is not an unprimeable number, because it can be changed into a prime (329123) by changing a digit.

329120 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, 19352 + ... + 19368.

2³²⁹¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452466).

329120 is an abundant number, since it is smaller than the sum of its proper divisors (575812).

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

329120 is a wasteful number, since it uses less digits than its factorization.

329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 329120 is about 573.6898116578. The cubic root of 329120 is about 69.0427516339.

The spelling of 329120 in words is "three hundred twenty-nine thousand, one hundred twenty".