12556560 has 80 divisors (see below), whose sum is σ = 39354624. Its totient is φ = 3311616.

The previous prime is 12556547. The next prime is 12556571. The reversal of 12556560 is 6565521.

12556560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26889 + ... + 27351.

Almost surely, 2^12556560 is an apocalyptic number.

12556560 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 12556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677312).

12556560 is an abundant number, since it is smaller than the sum of its proper divisors (26798064).

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

12556560 is a wasteful number, since it uses less digits than its factorization.

12556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 12556560 is about 3543.5236700211. The cubic root of 12556560 is about 232.4289527395.

The spelling of 12556560 in words is "twelve million, five hundred fifty-six thousand, five hundred sixty".