12671568 has 120 divisors (see below), whose sum is σ = 43691648. Its totient is φ = 3338496.

The previous prime is 12671563. The next prime is 12671573. The reversal of 12671568 is 86517621.

12671568 is a `hidden beast` number, since 1 + 26 + 71 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (12671563) and next prime (12671573).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12621 + ... + 13587.

Almost surely, 2^12671568 is an apocalyptic number.

12671568 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 12671568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845824).

12671568 is an abundant number, since it is smaller than the sum of its proper divisors (31020080).

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

12671568 is a wasteful number, since it uses less digits than its factorization.

12671568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12671568 is about 3559.7145953011. The cubic root of 12671568 is about 233.1364179924.

The spelling of 12671568 in words is "twelve million, six hundred seventy-one thousand, five hundred sixty-eight".