12648160 has 96 divisors (see below), whose sum is σ = 35707392. Its totient is φ = 4139520.

The previous prime is 12648157. The next prime is 12648169. The reversal of 12648160 is 6184621.

12648160 is digitally balanced in base 2, because in such base 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648169) 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, 25515 + ... + 26005.

It is an arithmetic number, because the mean of its divisors is an integer number (371952).

Almost surely, 2^12648160 is an apocalyptic number.

12648160 is a gapful number since it is divisible by the number (10) 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 12648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853696).

12648160 is an abundant number, since it is smaller than the sum of its proper divisors (23059232).

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

12648160 is a wasteful number, since it uses less digits than its factorization.

12648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12648160 is about 3556.4251714327. The cubic root of 12648160 is about 232.9927730203.

The spelling of 12648160 in words is "twelve million, six hundred forty-eight thousand, one hundred sixty".