329197920 has 96 divisors (see below), whose sum is σ = 1049594112. Its totient is φ = 86717952.

The previous prime is 329197909. The next prime is 329197927. The reversal of 329197920 is 29791923.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329197927) 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, 35709 + ... + 43971.

It is an arithmetic number, because the mean of its divisors is an integer number (10933272).

Almost surely, 2^329197920 is an apocalyptic number.

329197920 is a gapful number since it is divisible by the number (30) 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 329197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524797056).

329197920 is an abundant number, since it is smaller than the sum of its proper divisors (720396192).

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

329197920 is a wasteful number, since it uses less digits than its factorization.

329197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 329197920 is about 18143.8121683399. The cubic root of 329197920 is about 690.4819988655.

The spelling of 329197920 in words is "three hundred twenty-nine million, one hundred ninety-seven thousand, nine hundred twenty".