12810456 has 48 divisors (see below), whose sum is σ = 34922160. Its totient is φ = 4242240.

The previous prime is 12810451. The next prime is 12810463. The reversal of 12810456 is 65401821.

12810456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810451) 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, 12541 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (727545).

Almost surely, 2^12810456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461080).

12810456 is an abundant number, since it is smaller than the sum of its proper divisors (22111704).

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

12810456 is a wasteful number, since it uses less digits than its factorization.

12810456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12810456 is about 3579.1697361260. The cubic root of 12810456 is about 233.9850965744.

The spelling of 12810456 in words is "twelve million, eight hundred ten thousand, four hundred fifty-six".