12668544 has 96 divisors (see below), whose sum is σ = 41689440. Its totient is φ = 3617280.

The previous prime is 12668533. The next prime is 12668567. The reversal of 12668544 is 44586621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12668499 and 12668508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7279 + ... + 8849.

It is an arithmetic number, because the mean of its divisors is an integer number (434265).

Almost surely, 2^12668544 is an apocalyptic number.

12668544 is a gapful number since it is divisible by the number (14) 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 12668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844720).

12668544 is an abundant number, since it is smaller than the sum of its proper divisors (29020896).

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

12668544 is a wasteful number, since it uses less digits than its factorization.

12668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1583 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 12668544 is about 3559.2898168033. The cubic root of 12668544 is about 233.1178709423.

The spelling of 12668544 in words is "twelve million, six hundred sixty-eight thousand, five hundred forty-four".