12680736 has 48 divisors (see below), whose sum is σ = 34368768. Its totient is φ = 4089600.

The previous prime is 12680719. The next prime is 12680737. The reversal of 12680736 is 63708621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12680697 and 12680706.

It is not an unprimeable number, because it can be changed into a prime (12680737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846 + ... + 5106.

It is an arithmetic number, because the mean of its divisors is an integer number (716016).

Almost surely, 2^12680736 is an apocalyptic number.

12680736 is a gapful number since it is divisible by the number (16) 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 12680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184384).

12680736 is an abundant number, since it is smaller than the sum of its proper divisors (21688032).

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

12680736 is a wasteful number, since it uses less digits than its factorization.

12680736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12680736 is about 3561.0021061493. The cubic root of 12680736 is about 233.1926299101.

The spelling of 12680736 in words is "twelve million, six hundred eighty thousand, seven hundred thirty-six".