12536320 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 4870144.

The previous prime is 12536299. The next prime is 12536339. The reversal of 12536320 is 2363521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12536291 and 12536300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150999 + ... + 151081.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

It is a vampire number, since it can be written as 2360 ⋅ 5312 (with its own digits).

Almost surely, 2^12536320 is an apocalyptic number.

12536320 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 12536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

12536320 is an abundant number, since it is smaller than the sum of its proper divisors (18399200).

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

12536320 is an frugal number, since it uses more digits than its factorization.

12536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 12536320 is about 3540.6666039038. Note that the first 4 decimals coincide. The cubic root of 12536320 is about 232.3040010029.

Adding to 12536320 its reverse (2363521), we get a palindrome (14899841).

The spelling of 12536320 in words is "twelve million, five hundred thirty-six thousand, three hundred twenty".