12559040 has 56 divisors (see below), whose sum is σ = 32217360. Its totient is φ = 4635648.

The previous prime is 12559037. The next prime is 12559049. The reversal of 12559040 is 4095521.

Added to its reverse (4095521) it gives a square (16654561 = 4081²).

12559040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12559049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2651 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (575310).

Almost surely, 2^12559040 is an apocalyptic number.

12559040 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 12559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108680).

12559040 is an abundant number, since it is smaller than the sum of its proper divisors (19658320).

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

12559040 is a wasteful number, since it uses less digits than its factorization.

12559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 12559040 is about 3543.8735869102. The cubic root of 12559040 is about 232.4442537949. Note that the first 3 decimals are identical.

Adding to 12559040 its reverse (4095521), we get a square (16654561 = 4081²).

The spelling of 12559040 in words is "twelve million, five hundred fifty-nine thousand, forty".