12810460 has 48 divisors (see below), whose sum is σ = 29988000. Its totient is φ = 4564224.

The previous prime is 12810451. The next prime is 12810463. The reversal of 12810460 is 6401821.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6691 + ... + 8389.

It is an arithmetic number, because the mean of its divisors is an integer number (624750).

Almost surely, 2^12810460 is an apocalyptic number.

12810460 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 12810460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994000).

12810460 is an abundant number, since it is smaller than the sum of its proper divisors (17177540).

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

12810460 is a wasteful number, since it uses less digits than its factorization.

12810460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12810460 is about 3579.1702949147. The cubic root of 12810460 is about 233.9851209279.

It can be divided in two parts, 128104 and 60, that added together give a square (128164 = 358²).

The spelling of 12810460 in words is "twelve million, eight hundred ten thousand, four hundred sixty".