329027920 has 40 divisors (see below), whose sum is σ = 823837896. Its totient is φ = 121486848.

The previous prime is 329027899. The next prime is 329027929. The reversal of 329027920 is 29720923.

It can be written as a sum of positive squares in 4 ways, for example, as 69689104 + 259338816 = 8348^2 + 16104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329027929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157147 + ... + 159226.

Almost surely, 2^329027920 is an apocalyptic number.

It is an amenable number.

329027920 is an abundant number, since it is smaller than the sum of its proper divisors (494809976).

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

329027920 is a wasteful number, since it uses less digits than its factorization.

329027920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316399 (or 316393 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 329027920 is about 18139.1267706028. The cubic root of 329027920 is about 690.3631218981.

The spelling of 329027920 in words is "three hundred twenty-nine million, twenty-seven thousand, nine hundred twenty".