333664320 has 224 divisors, whose sum is σ = 1217249280. Its totient is φ = 76584960.

The previous prime is 333664319. The next prime is 333664333. The reversal of 333664320 is 23466333.

It is a super-2 number, since 2×333664320² = 222663756882124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 199809 + ... + 201471.

Almost surely, 2^333664320 is an apocalyptic number.

333664320 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 333664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608624640).

333664320 is an abundant number, since it is smaller than the sum of its proper divisors (883584960).

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

333664320 is a wasteful number, since it uses less digits than its factorization.

333664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 333664320 is about 18266.4807776430. The cubic root of 333664320 is about 693.5906917703.

The spelling of 333664320 in words is "three hundred thirty-three million, six hundred sixty-four thousand, three hundred twenty".