330016960 has 168 divisors, whose sum is σ = 985083120. Its totient is φ = 104380416.

The previous prime is 330016957. The next prime is 330016963. The reversal of 330016960 is 69610033.

It is an interprime number because it is at equal distance from previous prime (330016957) and next prime (330016963).

It is a super-2 number, since 2×330016960² = 217822387775283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (330016963) 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, 203031 + ... + 204649.

It is an arithmetic number, because the mean of its divisors is an integer number (5863590).

Almost surely, 2^330016960 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 330016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492541560).

330016960 is an abundant number, since it is smaller than the sum of its proper divisors (655066160).

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

330016960 is a wasteful number, since it uses less digits than its factorization.

330016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 330016960 is about 18166.3689272237. The cubic root of 330016960 is about 691.0541612607.

Adding to 330016960 its reverse (69610033), we get a palindrome (399626993).

The spelling of 330016960 in words is "three hundred thirty million, sixteen thousand, nine hundred sixty".