12811680 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 2764800.

The previous prime is 12811679. The next prime is 12811691. The reversal of 12811680 is 8611821.

12811680 is digitally balanced in base 2, because in such base 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 (288).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312460 + ... + 312500.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^12811680 is an apocalyptic number.

12811680 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 12811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

12811680 is an abundant number, since it is smaller than the sum of its proper divisors (40023648).

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

12811680 is a wasteful number, since it uses less digits than its factorization.

12811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12811680 is about 3579.3407214178. The cubic root of 12811680 is about 233.9925485245.

The spelling of 12811680 in words is "twelve million, eight hundred eleven thousand, six hundred eighty".