12736240 has 80 divisors (see below), whose sum is σ = 33185376. Its totient is φ = 4505600.

The previous prime is 12736223. The next prime is 12736253. The reversal of 12736240 is 4263721.

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

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35904 + ... + 36256.

Almost surely, 2^12736240 is an apocalyptic number.

12736240 is a gapful number since it is divisible by the number (10) 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 12736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592688).

12736240 is an abundant number, since it is smaller than the sum of its proper divisors (20449136).

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

12736240 is a wasteful number, since it uses less digits than its factorization.

12736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12736240 is about 3568.7869087408. The cubic root of 12736240 is about 233.5323653260.

Adding to 12736240 its reverse (4263721), we get a palindrome (16999961).

The spelling of 12736240 in words is "twelve million, seven hundred thirty-six thousand, two hundred forty".