12813760 has 56 divisors (see below), whose sum is σ = 31857696. Its totient is φ = 4899840.

The previous prime is 12813707. The next prime is 12813761. The reversal of 12813760 is 6731821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6490 + ... + 8230.

Almost surely, 2^12813760 is an apocalyptic number.

12813760 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 12813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928848).

12813760 is an abundant number, since it is smaller than the sum of its proper divisors (19043936).

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

12813760 is a wasteful number, since it uses less digits than its factorization.

12813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 12813760 is about 3579.6312659267. The cubic root of 12813760 is about 234.0052108806.

It can be divided in two parts, 1281 and 3760, that added together give a square (5041 = 71²).

The spelling of 12813760 in words is "twelve million, eight hundred thirteen thousand, seven hundred sixty".