12765240 has 96 divisors (see below), whose sum is σ = 42260400. Its totient is φ = 3340800.

The previous prime is 12765187. The next prime is 12765241. The reversal of 12765240 is 4256721.

12765240 is a `hidden beast` number, since 1 + 2 + 7 + 652 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20940 + ... + 21540.

Almost surely, 2^12765240 is an apocalyptic number.

12765240 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 12765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130200).

12765240 is an abundant number, since it is smaller than the sum of its proper divisors (29495160).

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

12765240 is a wasteful number, since it uses less digits than its factorization.

12765240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12765240 is about 3572.8476038029. The cubic root of 12765240 is about 233.7094794737.

The spelling of 12765240 in words is "twelve million, seven hundred sixty-five thousand, two hundred forty".