12756460 has 36 divisors (see below), whose sum is σ = 28469952. Its totient is φ = 4800256.

The previous prime is 12756439. The next prime is 12756463. The reversal of 12756460 is 6465721.

It is a happy number.

12756460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12756463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4677 + ... + 6883.

It is an arithmetic number, because the mean of its divisors is an integer number (790832).

Almost surely, 2^12756460 is an apocalyptic number.

12756460 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 12756460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234976).

12756460 is an abundant number, since it is smaller than the sum of its proper divisors (15713492).

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

12756460 is a wasteful number, since it uses less digits than its factorization.

12756460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 12756460 is about 3571.6186806545. The cubic root of 12756460 is about 233.6558849765.

The spelling of 12756460 in words is "twelve million, seven hundred fifty-six thousand, four hundred sixty".