12328960 has 112 divisors (see below), whose sum is σ = 34600896. Its totient is φ = 4128768.

The previous prime is 12328951. The next prime is 12329011. The reversal of 12328960 is 6982321.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286699 + ... + 286741.

It is a vampire number, since it can be written as 1280 ⋅ 9632 (with its own digits).

Almost surely, 2^12328960 is an apocalyptic number.

12328960 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 12328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300448).

12328960 is an abundant number, since it is smaller than the sum of its proper divisors (22271936).

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

12328960 is an frugal number, since it uses more digits than its factorization.

12328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 12328960 is about 3511.2618814324. The cubic root of 12328960 is about 231.0160468104.

Adding to 12328960 its product of nonzero digits (5184), we get a square (12334144 = 3512²).

The spelling of 12328960 in words is "twelve million, three hundred twenty-eight thousand, nine hundred sixty".