12760440 has 128 divisors (see below), whose sum is σ = 47761920. Its totient is φ = 2649600.

The previous prime is 12760417. The next prime is 12760459. The reversal of 12760440 is 4406721.

12760440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12760440³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12760440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8550 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (373140).

Almost surely, 2^12760440 is an apocalyptic number.

12760440 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 12760440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880960).

12760440 is an abundant number, since it is smaller than the sum of its proper divisors (35001480).

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

12760440 is a wasteful number, since it uses less digits than its factorization.

12760440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12760440 is about 3572.1758075436. The cubic root of 12760440 is about 233.6801825670.

The spelling of 12760440 in words is "twelve million, seven hundred sixty thousand, four hundred forty".