12611968 has 32 divisors (see below), whose sum is σ = 25814160. Its totient is φ = 6133248.

The previous prime is 12611957. The next prime is 12611987. The reversal of 12611968 is 86911621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3405 + ... + 6067.

Almost surely, 2^12611968 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 12611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907080).

12611968 is an abundant number, since it is smaller than the sum of its proper divisors (13202192).

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

12611968 is an equidigital number, since it uses as much as digits as its factorization.

12611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2702 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 12611968 is about 3551.3332707590. Note that the first 3 decimals coincide. The cubic root of 12611968 is about 232.7703288000.

The spelling of 12611968 in words is "twelve million, six hundred eleven thousand, nine hundred sixty-eight".