12648528 has 160 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 3763584.

The previous prime is 12648523. The next prime is 12648529. The reversal of 12648528 is 82584621.

12648528 is a `hidden beast` number, since 1 + 2 + 648 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12648492 and 12648501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188751 + ... + 188817.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^12648528 is an apocalyptic number.

12648528 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 12648528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

12648528 is an abundant number, since it is smaller than the sum of its proper divisors (27825072).

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

12648528 is a wasteful number, since it uses less digits than its factorization.

12648528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12648528 is about 3556.4769084025. The cubic root of 12648528 is about 232.9950326509.

The spelling of 12648528 in words is "twelve million, six hundred forty-eight thousand, five hundred twenty-eight".