12468960 has 144 divisors (see below), whose sum is σ = 48668256. Its totient is φ = 2847744.

The previous prime is 12468943. The next prime is 12468979. The reversal of 12468960 is 6986421.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×12468960³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9462 + ... + 10698.

It is an arithmetic number, because the mean of its divisors is an integer number (337974).

Almost surely, 2^12468960 is an apocalyptic number.

12468960 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 12468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334128).

12468960 is an abundant number, since it is smaller than the sum of its proper divisors (36199296).

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

12468960 is a wasteful number, since it uses less digits than its factorization.

12468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12468960 is about 3531.1414585088. The cubic root of 12468960 is about 231.8871825636.

The spelling of 12468960 in words is "twelve million, four hundred sixty-eight thousand, nine hundred sixty".