12438560 has 72 divisors (see below), whose sum is σ = 31332420. Its totient is φ = 4665344.

The previous prime is 12438553. The next prime is 12438599. The reversal of 12438560 is 6583421.

It can be written as a sum of positive squares in 6 ways, for example, as 5740816 + 6697744 = 2396^2 + 2588^2 .

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, 46106 + ... + 46374.

Almost surely, 2^12438560 is an apocalyptic number.

12438560 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 12438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666210).

12438560 is an abundant number, since it is smaller than the sum of its proper divisors (18893860).

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

12438560 is a wasteful number, since it uses less digits than its factorization.

12438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 12438560 is about 3526.8342745301. The cubic root of 12438560 is about 231.6985780331.

The spelling of 12438560 in words is "twelve million, four hundred thirty-eight thousand, five hundred sixty".