12466960 has 80 divisors (see below), whose sum is σ = 32712192. Its totient is φ = 4377600.

The previous prime is 12466931. The next prime is 12466969. The reversal of 12466960 is 6966421.

12466960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12466969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27052 + ... + 27508.

Almost surely, 2^12466960 is an apocalyptic number.

12466960 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 12466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356096).

12466960 is an abundant number, since it is smaller than the sum of its proper divisors (20245232).

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

12466960 is a wasteful number, since it uses less digits than its factorization.

12466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 12466960 is about 3530.8582526066. The cubic root of 12466960 is about 231.8747837973.

The spelling of 12466960 in words is "twelve million, four hundred sixty-six thousand, nine hundred sixty".