12648360 has 64 divisors (see below), whose sum is σ = 38332800. Its totient is φ = 3338496.

The previous prime is 12648347. The next prime is 12648373. The reversal of 12648360 is 6384621.

It is an interprime number because it is at equal distance from previous prime (12648347) and next prime (12648373).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12597 + ... + 13563.

It is an arithmetic number, because the mean of its divisors is an integer number (598950).

Almost surely, 2^12648360 is an apocalyptic number.

12648360 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 12648360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166400).

12648360 is an abundant number, since it is smaller than the sum of its proper divisors (25684440).

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

12648360 is a wasteful number, since it uses less digits than its factorization.

12648360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12648360 is about 3556.4532894444. The cubic root of 12648360 is about 232.9940010858.

The spelling of 12648360 in words is "twelve million, six hundred forty-eight thousand, three hundred sixty".