12487168 has 40 divisors (see below), whose sum is σ = 25840980. Its totient is φ = 6028288.

The previous prime is 12487147. The next prime is 12487177. The reversal of 12487168 is 86178421.

The cubic root of 12487168 is 232.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 1517824 = 3312^2 + 1232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 430578 + ... + 430606.

Almost surely, 2^12487168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920490).

12487168 is an abundant number, since it is smaller than the sum of its proper divisors (13353812).

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

12487168 is an frugal number, since it uses more digits than its factorization.

12487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 31 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 12487168 is about 3533.7187211209.

The spelling of 12487168 in words is "twelve million, four hundred eighty-seven thousand, one hundred sixty-eight".