12810168 has 72 divisors (see below), whose sum is σ = 40369680. Its totient is φ = 3659040.

The previous prime is 12810143. The next prime is 12810169. The reversal of 12810168 is 86101821.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1713 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (560690).

Almost surely, 2^12810168 is an apocalyptic number.

12810168 is a gapful number since it is divisible by the number (18) 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 12810168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184840).

12810168 is an abundant number, since it is smaller than the sum of its proper divisors (27559512).

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

12810168 is a wasteful number, since it uses less digits than its factorization.

12810168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12810168 is about 3579.1295031055. The cubic root of 12810168 is about 233.9833431054.

Adding to 12810168 its reverse (86101821), we get a palindrome (98911989).

It can be divided in two parts, 128 and 10168, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 12810168 in words is "twelve million, eight hundred ten thousand, one hundred sixty-eight".