12823160 has 64 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 4285440.

The previous prime is 12823147. The next prime is 12823177. The reversal of 12823160 is 6132821.

12823160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10922 + ... + 12038.

It is an arithmetic number, because the mean of its divisors is an integer number (528255).

Almost surely, 2^12823160 is an apocalyptic number.

12823160 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 12823160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

12823160 is an abundant number, since it is smaller than the sum of its proper divisors (20985160).

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

12823160 is a wasteful number, since it uses less digits than its factorization.

12823160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12823160 is about 3580.9440096153. The cubic root of 12823160 is about 234.0624179071.

Adding to 12823160 its reverse (6132821), we get a palindrome (18955981).

The spelling of 12823160 in words is "twelve million, eight hundred twenty-three thousand, one hundred sixty".