12636160 has 52 divisors (see below), whose sum is σ = 30372228. Its totient is φ = 5046272.

The previous prime is 12636149. The next prime is 12636163. The reversal of 12636160 is 6163621.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 10653696 = 1408^2 + 3264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12636163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20172 + ... + 20788.

Almost surely, 2^12636160 is an apocalyptic number.

12636160 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 12636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186114).

12636160 is an abundant number, since it is smaller than the sum of its proper divisors (17736068).

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

12636160 is an frugal number, since it uses more digits than its factorization.

12636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12636160 is about 3554.7376837117. The cubic root of 12636160 is about 232.9190653834.

Adding to 12636160 its reverse (6163621), we get a palindrome (18799781).

The spelling of 12636160 in words is "twelve million, six hundred thirty-six thousand, one hundred sixty".