329115264 has 128 divisors (see below), whose sum is σ = 933504000. Its totient is φ = 102435840.

The previous prime is 329115263. The next prime is 329115289. The reversal of 329115264 is 462511923.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (329115263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576099 + ... + 576669.

It is an arithmetic number, because the mean of its divisors is an integer number (7293000).

Almost surely, 2^329115264 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 329115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466752000).

329115264 is an abundant number, since it is smaller than the sum of its proper divisors (604388736).

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

329115264 is a wasteful number, since it uses less digits than its factorization.

329115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 329115264 is about 18141.5342239845. The cubic root of 329115264 is about 690.4242045986.

The spelling of 329115264 in words is "three hundred twenty-nine million, one hundred fifteen thousand, two hundred sixty-four".