33360 has 40 divisors (see below), whose sum is σ = 104160. Its totient is φ = 8832.

The previous prime is 33359. The next prime is 33377. The reversal of 33360 is 6333.

33360 is nontrivially palindromic in base 14.

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

It is a super-2 number, since 2×33360² = 2225779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 171 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2³³³⁶⁰ is an apocalyptic number.

33360 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 33360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

33360 is an abundant number, since it is smaller than the sum of its proper divisors (70800).

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

33360 is a wasteful number, since it uses less digits than its factorization.

33360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 33360 is about 182.6472009093. The cubic root of 33360 is about 32.1915593272.

Adding to 33360 its reverse (6333), we get a palindrome (39693).

It can be divided in two parts, 333 and 60, that added together give a palindrome (393).

The spelling of 33360 in words is "thirty-three thousand, three hundred sixty".