33120 has 72 divisors (see below), whose sum is σ = 117936. Its totient is φ = 8448.

The previous prime is 33119. The next prime is 33149. The reversal of 33120 is 2133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2³³¹²⁰ is an apocalyptic number.

33120 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 33120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

33120 is an abundant number, since it is smaller than the sum of its proper divisors (84816).

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

33120 is a wasteful number, since it uses less digits than its factorization.

33120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33120 is about 181.9890106572. The cubic root of 33120 is about 32.1141754726.

Adding to 33120 its reverse (2133), we get a palindrome (35253).

It can be divided in two parts, 331 and 20, that added together give a triangular number (351 = T₂₆).

The spelling of 33120 in words is "thirty-three thousand, one hundred twenty".