12659328 has 192 divisors, whose sum is σ = 42325920. Its totient is φ = 3732480.

The previous prime is 12659327. The next prime is 12659333. The reversal of 12659328 is 82395621.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 12659292 and 12659301.

It is not an unprimeable number, because it can be changed into a prime (12659323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342126 + ... + 342162.

Almost surely, 2^12659328 is an apocalyptic number.

12659328 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 12659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960).

12659328 is an abundant number, since it is smaller than the sum of its proper divisors (29666592).

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

12659328 is an equidigital number, since it uses as much as digits as its factorization.

12659328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12659328 is about 3557.9949409745. The cubic root of 12659328 is about 233.0613283889.

Adding to 12659328 its sum of digits (36), we get a square (12659364 = 3558²).

It can be divided in two parts, 126593 and 28, that added together give a palindrome (126621).

The spelling of 12659328 in words is "twelve million, six hundred fifty-nine thousand, three hundred twenty-eight".