12762680 has 64 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 4143744.

The previous prime is 12762667. The next prime is 12762683. The reversal of 12762680 is 8626721.

12762680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12762683) 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, 4121 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 2^12762680 is an apocalyptic number.

12762680 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 12762680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

12762680 is an abundant number, since it is smaller than the sum of its proper divisors (21797320).

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

12762680 is a wasteful number, since it uses less digits than its factorization.

12762680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 12762680 is about 3572.4893281856. The cubic root of 12762680 is about 233.6938553709.

The spelling of 12762680 in words is "twelve million, seven hundred sixty-two thousand, six hundred eighty".