12666560 has 56 divisors (see below), whose sum is σ = 31491936. Its totient is φ = 4843520.

The previous prime is 12666557. The next prime is 12666571. The reversal of 12666560 is 6566621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6500 + ... + 8220.

It is an arithmetic number, because the mean of its divisors is an integer number (562356).

Almost surely, 2^12666560 is an apocalyptic number.

12666560 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 12666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745968).

12666560 is an abundant number, since it is smaller than the sum of its proper divisors (18825376).

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

12666560 is a wasteful number, since it uses less digits than its factorization.

12666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 12666560 is about 3559.0110986059. The cubic root of 12666560 is about 233.1057009039.

It can be divided in two parts, 126 and 66560, that multiplied together give a triangular number (8386560 = T₄₀₉₅).

The spelling of 12666560 in words is "twelve million, six hundred sixty-six thousand, five hundred sixty".