329000960 has 144 divisors (see below), whose sum is σ = 842505300. Its totient is φ = 123273216.

The previous prime is 329000957. The next prime is 329000963. The reversal of 329000960 is 69000923.

It is an interprime number because it is at equal distance from previous prime (329000957) and next prime (329000963).

It can be written as a sum of positive squares in 2 ways, for example, as 310887424 + 18113536 = 17632^2 + 4256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329000963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3696596 + ... + 3696684.

Almost surely, 2^329000960 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 329000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421252650).

329000960 is an abundant number, since it is smaller than the sum of its proper divisors (513504340).

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

329000960 is an equidigital number, since it uses as much as digits as its factorization.

329000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 329000960 is about 18138.3836104544. The cubic root of 329000960 is about 690.3442656481.

The spelling of 329000960 in words is "three hundred twenty-nine million, nine hundred sixty", and thus it is an aban number.