12745680 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3249664.

The previous prime is 12745679. The next prime is 12745709. The reversal of 12745680 is 8654721.

12745680 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 (80).

It is a congruent number.

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, 4366 + ... + 6674.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^12745680 is an apocalyptic number.

12745680 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 12745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12745680 is an abundant number, since it is smaller than the sum of its proper divisors (28501680).

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

12745680 is a wasteful number, since it uses less digits than its factorization.

12745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12745680 is about 3570.1092420261. The cubic root of 12745680 is about 233.5900485221.

The spelling of 12745680 in words is "twelve million, seven hundred forty-five thousand, six hundred eighty".