12783648 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4008960.

The previous prime is 12783647. The next prime is 12783649. The reversal of 12783648 is 84638721.

It is an interprime number because it is at equal distance from previous prime (12783647) and next prime (12783649).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12783647) 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, 209538 + ... + 209598.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^12783648 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 12783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12783648 is an abundant number, since it is smaller than the sum of its proper divisors (22839072).

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

12783648 is a wasteful number, since it uses less digits than its factorization.

12783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 12783648 is about 3575.4227722047. The cubic root of 12783648 is about 233.8217650714.

It can be divided in two parts, 12783 and 648, that added together give a palindrome (13431).

The spelling of 12783648 in words is "twelve million, seven hundred eighty-three thousand, six hundred forty-eight".