12627648 has 84 divisors (see below), whose sum is σ = 39505128. Its totient is φ = 3824640.

The previous prime is 12627607. The next prime is 12627649. The reversal of 12627648 is 84672621.

12627648 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12627649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5340 + ... + 7332.

Almost surely, 2^12627648 is an apocalyptic number.

12627648 is a gapful number since it is divisible by the number (18) 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 12627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752564).

12627648 is an abundant number, since it is smaller than the sum of its proper divisors (26877480).

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

12627648 is a wasteful number, since it uses less digits than its factorization.

12627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2009 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12627648 is about 3553.5402066109. The cubic root of 12627648 is about 232.8667538049.

The spelling of 12627648 in words is "twelve million, six hundred twenty-seven thousand, six hundred forty-eight".