33122640 has 80 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 8526336.

The previous prime is 33122633. The next prime is 33122653. The reversal of 33122640 is 4622133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4581 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^33122640 is an apocalyptic number.

33122640 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 33122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

33122640 is an abundant number, since it is smaller than the sum of its proper divisors (73120560).

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

33122640 is a wasteful number, since it uses less digits than its factorization.

33122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33122640 is about 5755.2271892602. The cubic root of 33122640 is about 321.1502872515.

Adding to 33122640 its reverse (4622133), we get a palindrome (37744773).

The spelling of 33122640 in words is "thirty-three million, one hundred twenty-two thousand, six hundred forty".