33240720 has 80 divisors (see below), whose sum is σ = 105475392. Its totient is φ = 8655360.

The previous prime is 33240707. The next prime is 33240737. The reversal of 33240720 is 2704233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33240720² = 2209890932236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8710 + ... + 11930.

Almost surely, 2^33240720 is an apocalyptic number.

33240720 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 33240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52737696).

33240720 is an abundant number, since it is smaller than the sum of its proper divisors (72234672).

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

33240720 is a wasteful number, since it uses less digits than its factorization.

33240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33240720 is about 5765.4765631299. The cubic root of 33240720 is about 321.5314611002.

Adding to 33240720 its reverse (2704233), we get a palindrome (35944953).

The spelling of 33240720 in words is "thirty-three million, two hundred forty thousand, seven hundred twenty".