33000240 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 6958080.

The previous prime is 33000223. The next prime is 33000241. The reversal of 33000240 is 4200033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21085 + ... + 22595.

Almost surely, 2^33000240 is an apocalyptic number.

33000240 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 33000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

33000240 is an abundant number, since it is smaller than the sum of its proper divisors (92991696).

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

33000240 is a wasteful number, since it uses less digits than its factorization.

33000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

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

The square root of 33000240 is about 5744.5835358188. The cubic root of 33000240 is about 320.7542105818.

Adding to 33000240 its reverse (4200033), we get a palindrome (37200273).

The spelling of 33000240 in words is "thirty-three million, two hundred forty", and thus it is an aban number.