12836160 has 84 divisors (see below), whose sum is σ = 44160948. Its totient is φ = 3422208.

The previous prime is 12836149. The next prime is 12836179. The reversal of 12836160 is 6163821.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 5992704 = 2616^2 + 2448^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 652 + ... + 5108.

Almost surely, 2^12836160 is an apocalyptic number.

12836160 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 12836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080474).

12836160 is an abundant number, since it is smaller than the sum of its proper divisors (31324788).

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

12836160 is a wasteful number, since it uses less digits than its factorization.

12836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12836160 is about 3582.7587136172. The cubic root of 12836160 is about 234.1414879583.

Adding to 12836160 its reverse (6163821), we get a palindrome (18999981).

It can be divided in two parts, 12836 and 160, that added together give a square (12996 = 114²).

The spelling of 12836160 in words is "twelve million, eight hundred thirty-six thousand, one hundred sixty".