12716640 has 72 divisors (see below), whose sum is σ = 43400448. Its totient is φ = 3390720.

The previous prime is 12716633. The next prime is 12716651. The reversal of 12716640 is 4661721.

12716640 is a `hidden beast` number, since 1 + 2 + 7 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2976 + ... + 5855.

It is an arithmetic number, because the mean of its divisors is an integer number (602784).

Almost surely, 2^12716640 is an apocalyptic number.

12716640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12716640 is an abundant number, since it is smaller than the sum of its proper divisors (30683808).

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

12716640 is a wasteful number, since it uses less digits than its factorization.

12716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12716640 is about 3566.0398203049. The cubic root of 12716640 is about 233.4125082786.

The spelling of 12716640 in words is "twelve million, seven hundred sixteen thousand, six hundred forty".