33132240 has 100 divisors (see below), whose sum is σ = 115095684. Its totient is φ = 8833536.

The previous prime is 33132163. The next prime is 33132241. The reversal of 33132240 is 4223133.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 28772496 = 2088^2 + 5364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33132241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3924 + ... + 9036.

Almost surely, 2^33132240 is an apocalyptic number.

33132240 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 33132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57547842).

33132240 is an abundant number, since it is smaller than the sum of its proper divisors (81963444).

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

33132240 is a wasteful number, since it uses less digits than its factorization.

33132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33132240 is about 5756.0611532540. The cubic root of 33132240 is about 321.1813107946.

Adding to 33132240 its reverse (4223133), we get a palindrome (37355373).

The spelling of 33132240 in words is "thirty-three million, one hundred thirty-two thousand, two hundred forty".