33040 has 40 divisors (see below), whose sum is σ = 89280. Its totient is φ = 11136.

The previous prime is 33037. The next prime is 33049. The reversal of 33040 is 4033.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2³³⁰⁴⁰ 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 33040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

33040 is an abundant number, since it is smaller than the sum of its proper divisors (56240).

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

33040 is a wasteful number, since it uses less digits than its factorization.

33040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33040 is about 181.7690842800. The cubic root of 33040 is about 32.0882978019.

Adding to 33040 its reverse (4033), we get a palindrome (37073).

The spelling of 33040 in words is "thirty-three thousand, forty".