12544040 has 64 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4792320.

The previous prime is 12544033. The next prime is 12544097. The reversal of 12544040 is 4044521.

12544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2896804 + 9647236 = 1702^2 + 3106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 129272 + ... + 129368.

Almost surely, 2^12544040 is an apocalyptic number.

12544040 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 12544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12544040 is an abundant number, since it is smaller than the sum of its proper divisors (16985320).

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

12544040 is a wasteful number, since it uses less digits than its factorization.

12544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 12544040 is about 3541.7566263085. The cubic root of 12544040 is about 232.3516763145.

Adding to 12544040 its reverse (4044521), we get a palindrome (16588561).

It can be divided in two parts, 125440 and 40, that multiplied together give a square (5017600 = 2240²).

The spelling of 12544040 in words is "twelve million, five hundred forty-four thousand, forty".