12718680 has 128 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 3018240.

The previous prime is 12718679. The next prime is 12718681. The reversal of 12718680 is 8681721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12718679) and next prime (12718681).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12718681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48229 + ... + 48491.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^12718680 is an apocalyptic number.

12718680 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 12718680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

12718680 is an abundant number, since it is smaller than the sum of its proper divisors (29859240).

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

12718680 is a wasteful number, since it uses less digits than its factorization.

12718680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12718680 is about 3566.3258404134. The cubic root of 12718680 is about 233.4249889354.

The spelling of 12718680 in words is "twelve million, seven hundred eighteen thousand, six hundred eighty".