12506560 has 168 divisors, whose sum is σ = 36484560. Its totient is φ = 4055040.

The previous prime is 12506537. The next prime is 12506561. The reversal of 12506560 is 6560521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658231 + ... + 658249.

It is an arithmetic number, because the mean of its divisors is an integer number (217170).

Almost surely, 2^12506560 is an apocalyptic number.

12506560 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 12506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

12506560 is an abundant number, since it is smaller than the sum of its proper divisors (23978000).

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

12506560 is a wasteful number, since it uses less digits than its factorization.

12506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 12506560 is about 3536.4615083442. The cubic root of 12506560 is about 232.1200330110.

The spelling of 12506560 in words is "twelve million, five hundred six thousand, five hundred sixty".