12163968 has 48 divisors (see below), whose sum is σ = 35006400. Its totient is φ = 4054272.

The previous prime is 12163961. The next prime is 12163973. The reversal of 12163968 is 86936121.

12163968 is a `hidden beast` number, since 12 + 1 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12163961) 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 5 ways as a sum of consecutive naturals, for example, 4128 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (729300).

Almost surely, 2^12163968 is an apocalyptic number.

12163968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12163968 is an abundant number, since it is smaller than the sum of its proper divisors (22842432).

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

12163968 is a wasteful number, since it uses less digits than its factorization.

12163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10579 (or 10564 counting only the distinct ones).

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

The square root of 12163968 is about 3487.6880594457. The cubic root of 12163968 is about 229.9808931828.

It can be divided in two parts, 12163 and 968, that added together give a palindrome (13131).

The spelling of 12163968 in words is "twelve million, one hundred sixty-three thousand, nine hundred sixty-eight".