12680640 has 336 divisors, whose sum is σ = 54205632. Its totient is φ = 2654208.

The previous prime is 12680609. The next prime is 12680641. The reversal of 12680640 is 4608621.

12680640 is a `hidden beast` number, since 12 + 6 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12680641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342702 + ... + 342738.

Almost surely, 2^12680640 is an apocalyptic number.

12680640 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 12680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102816).

12680640 is an abundant number, since it is smaller than the sum of its proper divisors (41524992).

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

12680640 is a wasteful number, since it uses less digits than its factorization.

12680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12680640 is about 3560.9886267721. The cubic root of 12680640 is about 233.1920414440.

The spelling of 12680640 in words is "twelve million, six hundred eighty thousand, six hundred forty".