12984160 has 48 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 4451328.

The previous prime is 12984157. The next prime is 12984193. The reversal of 12984160 is 6148921.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 4677 + ... + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (730422).

Almost surely, 2^12984160 is an apocalyptic number.

12984160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12984160 is an abundant number, since it is smaller than the sum of its proper divisors (22076096).

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

12984160 is a wasteful number, since it uses less digits than its factorization.

12984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12984160 is about 3603.3539931569. The cubic root of 12984160 is about 235.0379295953.

The spelling of 12984160 in words is "twelve million, nine hundred eighty-four thousand, one hundred sixty".