12618648 has 48 divisors (see below), whose sum is σ = 39059280. Its totient is φ = 3605184.

The previous prime is 12618629. The next prime is 12618649. The reversal of 12618648 is 84681621.

12618648 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 8 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 (12618649) 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, 12015 + ... + 13022.

It is an arithmetic number, because the mean of its divisors is an integer number (813735).

Almost surely, 2^12618648 is an apocalyptic number.

12618648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12618648 is an abundant number, since it is smaller than the sum of its proper divisors (26440632).

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

12618648 is a wasteful number, since it uses less digits than its factorization.

12618648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25056 (or 25049 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12618648 is about 3552.2736381084. The cubic root of 12618648 is about 232.8114175858.

The spelling of 12618648 in words is "twelve million, six hundred eighteen thousand, six hundred forty-eight".