12686880 has 48 divisors (see below), whose sum is σ = 39965184. Its totient is φ = 3383040.

The previous prime is 12686867. The next prime is 12686881. The reversal of 12686880 is 8868621.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12686881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12736 + ... + 13695.

It is an arithmetic number, because the mean of its divisors is an integer number (832608).

Almost surely, 2^12686880 is an apocalyptic number.

12686880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12686880 is an abundant number, since it is smaller than the sum of its proper divisors (27278304).

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

12686880 is a wasteful number, since it uses less digits than its factorization.

12686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 12686880 is about 3561.8646801921. The cubic root of 12686880 is about 233.2302855631.

The spelling of 12686880 in words is "twelve million, six hundred eighty-six thousand, eight hundred eighty".