12672640 has 32 divisors (see below), whose sum is σ = 30297060. Its totient is φ = 5068800.

The previous prime is 12672619. The next prime is 12672641. The reversal of 12672640 is 4627621.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 2483776 = 3192^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12672599 and 12672608.

It is not an unprimeable number, because it can be changed into a prime (12672641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9261 + ... + 10540.

Almost surely, 2^12672640 is an apocalyptic number.

12672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12672640 is an abundant number, since it is smaller than the sum of its proper divisors (17624420).

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

12672640 is an equidigital number, since it uses as much as digits as its factorization.

12672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19820 (or 19808 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 12672640 is about 3559.8651659859. The cubic root of 12672640 is about 233.1429921641.

The spelling of 12672640 in words is "twelve million, six hundred seventy-two thousand, six hundred forty".