330633966 has 48 divisors (see below), whose sum is σ = 732796416. Its totient is φ = 99354528.

The previous prime is 330633949. The next prime is 330633971. The reversal of 330633966 is 669336033.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39811 + ... + 47393.

It is an arithmetic number, because the mean of its divisors is an integer number (15266592).

Almost surely, 2^330633966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330633966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366398208).

330633966 is an abundant number, since it is smaller than the sum of its proper divisors (402162450).

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

330633966 is a wasteful number, since it uses less digits than its factorization.

330633966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 39.

The square root of 330633966 is about 18183.3430919619. The cubic root of 330633966 is about 691.4845624881.

Adding to 330633966 its reverse (669336033), we get a palindrome (999969999).

The spelling of 330633966 in words is "three hundred thirty million, six hundred thirty-three thousand, nine hundred sixty-six".