33540240 has 160 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 8386560.

The previous prime is 33540239. The next prime is 33540251. The reversal of 33540240 is 4204533.

It is a happy number.

33540240 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×33540240² = 2249895398515200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424521 + ... + 424599.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^33540240 is an apocalyptic number.

33540240 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 33540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

33540240 is an abundant number, since it is smaller than the sum of its proper divisors (77166960).

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

33540240 is a wasteful number, since it uses less digits than its factorization.

33540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 33540240 is about 5791.3936146665. The cubic root of 33540240 is about 322.4943091358.

Adding to 33540240 its reverse (4204533), we get a palindrome (37744773).

The spelling of 33540240 in words is "thirty-three million, five hundred forty thousand, two hundred forty".