12538560 has 112 divisors (see below), whose sum is σ = 41001696. Its totient is φ = 3244032.

The previous prime is 12538549. The next prime is 12538607. The reversal of 12538560 is 6583521.

12538560 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 (30).

It is a congruent number.

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, 35344 + ... + 35696.

Almost surely, 2^12538560 is an apocalyptic number.

12538560 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 12538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500848).

12538560 is an abundant number, since it is smaller than the sum of its proper divisors (28463136).

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

12538560 is a wasteful number, since it uses less digits than its factorization.

12538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 12538560 is about 3540.9829143897. The cubic root of 12538560 is about 232.3178362691.

The spelling of 12538560 in words is "twelve million, five hundred thirty-eight thousand, five hundred sixty".