33008960 has 56 divisors (see below), whose sum is σ = 81335880. Its totient is φ = 12744704.

The previous prime is 33008959. The next prime is 33008971. The reversal of 33008960 is 6980033.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 32535616 = 688^2 + 5704^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7502 + ... + 11058.

Almost surely, 2^33008960 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 33008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40667940).

33008960 is an abundant number, since it is smaller than the sum of its proper divisors (48326920).

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

33008960 is a wasteful number, since it uses less digits than its factorization.

33008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 33008960 is about 5745.3424615074. The cubic root of 33008960 is about 320.7824601783.

Adding to 33008960 its reverse (6980033), we get a palindrome (39988993).

The spelling of 33008960 in words is "thirty-three million, eight thousand, nine hundred sixty".