12741680 has 80 divisors (see below), whose sum is σ = 34503744. Its totient is φ = 4285440.

The previous prime is 12741679. The next prime is 12741689. The reversal of 12741680 is 8614721.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12741689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33974 + ... + 34346.

Almost surely, 2^12741680 is an apocalyptic number.

12741680 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 12741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251872).

12741680 is an abundant number, since it is smaller than the sum of its proper divisors (21762064).

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

12741680 is a wasteful number, since it uses less digits than its factorization.

12741680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12741680 is about 3569.5489911192. The cubic root of 12741680 is about 233.5656099684.

The spelling of 12741680 in words is "twelve million, seven hundred forty-one thousand, six hundred eighty".