12631968 has 72 divisors (see below), whose sum is σ = 37503648. Its totient is φ = 4025472.

The previous prime is 12631963. The next prime is 12631987. The reversal of 12631968 is 86913621.

12631968 is a `hidden beast` number, since 12 + 631 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12631961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5671 + ... + 7577.

It is an arithmetic number, because the mean of its divisors is an integer number (520884).

Almost surely, 2^12631968 is an apocalyptic number.

12631968 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 12631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18751824).

12631968 is an abundant number, since it is smaller than the sum of its proper divisors (24871680).

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

12631968 is a wasteful number, since it uses less digits than its factorization.

12631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1935 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12631968 is about 3554.1479991694. The cubic root of 12631968 is about 232.8933058511.

The spelling of 12631968 in words is "twelve million, six hundred thirty-one thousand, nine hundred sixty-eight".