33144320 has 120 divisors (see below), whose sum is σ = 88166232. Its totient is φ = 11939840.

The previous prime is 33144317. The next prime is 33144329. The reversal of 33144320 is 2344133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33144292 and 33144301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144329) 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 11 ways as a sum of consecutive naturals, for example, 309707 + ... + 309813.

Almost surely, 2^33144320 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 33144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083116).

33144320 is an abundant number, since it is smaller than the sum of its proper divisors (55021912).

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

33144320 is a wasteful number, since it uses less digits than its factorization.

33144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 33144320 is about 5757.1103862962. The cubic root of 33144320 is about 321.2203402394.

Adding to 33144320 its reverse (2344133), we get a palindrome (35488453).

The spelling of 33144320 in words is "thirty-three million, one hundred forty-four thousand, three hundred twenty".