12960288 has 72 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3926400.

The previous prime is 12960287. The next prime is 12960289. The reversal of 12960288 is 88206921.

It is an interprime number because it is at equal distance from previous prime (12960287) and next prime (12960289).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12960281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1123 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^12960288 is an apocalyptic number.

12960288 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 12960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

12960288 is an abundant number, since it is smaller than the sum of its proper divisors (27255888).

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

12960288 is a wasteful number, since it uses less digits than its factorization.

12960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12960288 is about 3600.0399997778. The cubic root of 12960288 is about 234.8937983984.

The spelling of 12960288 in words is "twelve million, nine hundred sixty thousand, two hundred eighty-eight".