12591968 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 5830656.

The previous prime is 12591959. The next prime is 12591977. The reversal of 12591968 is 86919521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12591959) and next prime (12591977).

It is a super-2 number, since 2×12591968² = 317115316226048, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 42830 + ... + 43122.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^12591968 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 12591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12591968 is an abundant number, since it is smaller than the sum of its proper divisors (14079712).

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

12591968 is a wasteful number, since it uses less digits than its factorization.

12591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 12591968 is about 3548.5163096708. The cubic root of 12591968 is about 232.6472216690.

The spelling of 12591968 in words is "twelve million, five hundred ninety-one thousand, nine hundred sixty-eight".