12813648 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3911680.

The previous prime is 12813643. The next prime is 12813649. The reversal of 12813648 is 84631821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813641) 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, 33265 + ... + 33647.

Almost surely, 2^12813648 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 12813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12813648 is an abundant number, since it is smaller than the sum of its proper divisors (23184048).

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

12813648 is a wasteful number, since it uses less digits than its factorization.

12813648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12813648 is about 3579.6156218231. The cubic root of 12813648 is about 234.0045290964.

The spelling of 12813648 in words is "twelve million, eight hundred thirteen thousand, six hundred forty-eight".