12886560 has 192 divisors, whose sum is σ = 47779200. Its totient is φ = 3234816.

The previous prime is 12886553. The next prime is 12886567. The reversal of 12886560 is 6568821.

It is a happy number.

12886560 is a `hidden beast` number, since 12 + 8 + 86 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12886553) and next prime (12886567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82002 + ... + 82158.

It is an arithmetic number, because the mean of its divisors is an integer number (248850).

Almost surely, 2^12886560 is an apocalyptic number.

12886560 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 12886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889600).

12886560 is an abundant number, since it is smaller than the sum of its proper divisors (34892640).

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

12886560 is a wasteful number, since it uses less digits than its factorization.

12886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12886560 is about 3589.7855089128. The cubic root of 12886560 is about 234.4475327508.

The spelling of 12886560 in words is "twelve million, eight hundred eighty-six thousand, five hundred sixty".