329901696 has 96 divisors (see below), whose sum is σ = 990681120. Its totient is φ = 105177600.

The previous prime is 329901683. The next prime is 329901697. The reversal of 329901696 is 696109923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (329901697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20271 + ... + 32721.

It is an arithmetic number, because the mean of its divisors is an integer number (10319595).

Almost surely, 2^329901696 is an apocalyptic number.

329901696 is a gapful number since it is divisible by the number (36) 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 329901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495340560).

329901696 is an abundant number, since it is smaller than the sum of its proper divisors (660779424).

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

329901696 is a wasteful number, since it uses less digits than its factorization.

329901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 329901696 is about 18163.1961945028. The cubic root of 329901696 is about 690.9736977778.

The spelling of 329901696 in words is "three hundred twenty-nine million, nine hundred one thousand, six hundred ninety-six".