33240 has 32 divisors (see below), whose sum is σ = 100080. Its totient is φ = 8832.

The previous prime is 33223. The next prime is 33247. The reversal of 33240 is 4233.

33240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33240² = 2209795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

33240 is strictly pandigital in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33240.

It is not an unprimeable number, because it can be changed into a prime (33247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 258.

2³³²⁴⁰ is an apocalyptic number.

33240 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 33240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50040).

33240 is an abundant number, since it is smaller than the sum of its proper divisors (66840).

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

33240 is a wasteful number, since it uses less digits than its factorization.

33240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 33240 is about 182.3184028013. The cubic root of 33240 is about 32.1529139607.

Adding to 33240 its reverse (4233), we get a palindrome (37473).

The spelling of 33240 in words is "thirty-three thousand, two hundred forty".