330633072 has 120 divisors (see below), whose sum is σ = 1153676160. Its totient is φ = 85875840.

The previous prime is 330633071. The next prime is 330633077. The reversal of 330633072 is 270336033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330633071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822 + ... + 25997.

It is an arithmetic number, because the mean of its divisors is an integer number (9613968).

Almost surely, 2^330633072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330633072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576838080).

330633072 is an abundant number, since it is smaller than the sum of its proper divisors (823043088).

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

330633072 is a wasteful number, since it uses less digits than its factorization.

330633072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29851 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 330633072 is about 18183.3185090071. The cubic root of 330633072 is about 691.4839392533.

The spelling of 330633072 in words is "three hundred thirty million, six hundred thirty-three thousand, seventy-two".