12814648 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4905600.

The previous prime is 12814631. The next prime is 12814649. The reversal of 12814648 is 84641821.

Its product of digits (12288) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814649) 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, 43590 + ... + 43882.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^12814648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12814648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12814648 is an abundant number, since it is smaller than the sum of its proper divisors (17667272).

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

12814648 is a wasteful number, since it uses less digits than its factorization.

12814648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 12814648 is about 3579.7552988996. The cubic root of 12814648 is about 234.0106163153.

It can be divided in two parts, 1281 and 4648, that added together give a square (5929 = 77²).

The spelling of 12814648 in words is "twelve million, eight hundred fourteen thousand, six hundred forty-eight".