329669120 has 160 divisors (see below), whose sum is σ = 901549440. Its totient is φ = 114442240.

The previous prime is 329669099. The next prime is 329669141. The reversal of 329669120 is 21966923.

It is an interprime number because it is at equal distance from previous prime (329669099) and next prime (329669141).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647426 + ... + 647934.

It is an arithmetic number, because the mean of its divisors is an integer number (5634684).

Almost surely, 2^329669120 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 329669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450774720).

329669120 is an abundant number, since it is smaller than the sum of its proper divisors (571880320).

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

329669120 is a wasteful number, since it uses less digits than its factorization.

329669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 329669120 is about 18156.7926683101. The cubic root of 329669120 is about 690.8112840647.

The spelling of 329669120 in words is "three hundred twenty-nine million, six hundred sixty-nine thousand, one hundred twenty".