329296920 has 64 divisors (see below), whose sum is σ = 993414240. Its totient is φ = 87321600.

The previous prime is 329296909. The next prime is 329296931. The reversal of 329296920 is 29692923.

329296920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (329296909) and next prime (329296931).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14140 + ... + 29300.

Almost surely, 2^329296920 is an apocalyptic number.

329296920 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 329296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496707120).

329296920 is an abundant number, since it is smaller than the sum of its proper divisors (664117320).

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

329296920 is a wasteful number, since it uses less digits than its factorization.

329296920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15356 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 329296920 is about 18146.5401661033. The cubic root of 329296920 is about 690.5512083617.

The spelling of 329296920 in words is "three hundred twenty-nine million, two hundred ninety-six thousand, nine hundred twenty".