33016960 has 64 divisors (see below), whose sum is σ = 82399680. Its totient is φ = 12626944.

The previous prime is 33016939. The next prime is 33016961. The reversal of 33016960 is 6961033.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (33016961) 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 7 ways as a sum of consecutive naturals, for example, 13599 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (1287495).

Almost surely, 2^33016960 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 33016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41199840).

33016960 is an abundant number, since it is smaller than the sum of its proper divisors (49382720).

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

33016960 is a wasteful number, since it uses less digits than its factorization.

33016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2273 counting only the distinct ones).

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

The square root of 33016960 is about 5746.0386354427. The cubic root of 33016960 is about 320.8083728637.

Adding to 33016960 its reverse (6961033), we get a palindrome (39977993).

The spelling of 33016960 in words is "thirty-three million, sixteen thousand, nine hundred sixty".