329193216 has 216 divisors, whose sum is σ = 1071383040. Its totient is φ = 96307200.

The previous prime is 329193211. The next prime is 329193233. The reversal of 329193216 is 612391923.

It is a happy number.

329193216 is a `hidden beast` number, since 329 + 1 + 9 + 321 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329193211) 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 23 ways as a sum of consecutive naturals, for example, 785455 + ... + 785873.

Almost surely, 2^329193216 is an apocalyptic number.

329193216 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 329193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691520).

329193216 is an abundant number, since it is smaller than the sum of its proper divisors (742189824).

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

329193216 is a wasteful number, since it uses less digits than its factorization.

329193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 329193216 is about 18143.6825369052. The cubic root of 329193216 is about 690.4787100205.

The spelling of 329193216 in words is "three hundred twenty-nine million, one hundred ninety-three thousand, two hundred sixteen".