12963168 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3877632.

The previous prime is 12963161. The next prime is 12963173. The reversal of 12963168 is 86136921.

12963168 is a `hidden beast` number, since 12 + 9 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125805 + ... + 125907.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^12963168 is an apocalyptic number.

12963168 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 12963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

12963168 is an abundant number, since it is smaller than the sum of its proper divisors (27921312).

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

12963168 is a wasteful number, since it uses less digits than its factorization.

12963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12963168 is about 3600.4399731144. The cubic root of 12963168 is about 234.9111962638.

It can be divided in two parts, 12963 and 168, that added together give a palindrome (13131).

The spelling of 12963168 in words is "twelve million, nine hundred sixty-three thousand, one hundred sixty-eight".