329220126 has 80 divisors (see below), whose sum is σ = 762056064. Its totient is φ = 106169616.

The previous prime is 329220121. The next prime is 329220149. The reversal of 329220126 is 621022923.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 329220126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329220121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1163181 + ... + 1163463.

Almost surely, 2^329220126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329220126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381028032).

329220126 is an abundant number, since it is smaller than the sum of its proper divisors (432835938).

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

329220126 is a wasteful number, since it uses less digits than its factorization.

329220126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 329220126 is about 18144.4241021863. The cubic root of 329220126 is about 690.4975239722.

The spelling of 329220126 in words is "three hundred twenty-nine million, two hundred twenty thousand, one hundred twenty-six".