12544320 has 112 divisors (see below), whose sum is σ = 40599360. Its totient is φ = 3280896.

The previous prime is 12544309. The next prime is 12544321. The reversal of 12544320 is 2344521.

12544320 = 378² + 379² + ... + 450².

12544320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69991 + ... + 70169.

Almost surely, 2^12544320 is an apocalyptic number.

12544320 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 12544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299680).

12544320 is an abundant number, since it is smaller than the sum of its proper divisors (28055040).

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

12544320 is a wasteful number, since it uses less digits than its factorization.

12544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12544320 is about 3541.7961544956. The cubic root of 12544320 is about 232.3534051032.

Adding to 12544320 its reverse (2344521), we get a palindrome (14888841).

The spelling of 12544320 in words is "twelve million, five hundred forty-four thousand, three hundred twenty".