12555648 has 160 divisors (see below), whose sum is σ = 42950160. Its totient is φ = 3566592.

The previous prime is 12555643. The next prime is 12555649. The reversal of 12555648 is 84655521.

12555648 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 648 = 666.

12555648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12555643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72490 + ... + 72662.

Almost surely, 2^12555648 is an apocalyptic number.

12555648 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 12555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475080).

12555648 is an abundant number, since it is smaller than the sum of its proper divisors (30394512).

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

12555648 is an equidigital number, since it uses as much as digits as its factorization.

12555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 12555648 is about 3543.3949822169. The cubic root of 12555648 is about 232.4233253932.

It can be divided in two parts, 12555 and 648, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12555648 in words is "twelve million, five hundred fifty-five thousand, six hundred forty-eight".