11973168 has 120 divisors (see below), whose sum is σ = 36502128. Its totient is φ = 3649536.

The previous prime is 11973167. The next prime is 11973187. The reversal of 11973168 is 86137911.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (9072) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (11973167) 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 23 ways as a sum of consecutive naturals, for example, 163980 + ... + 164052.

Almost surely, 2^11973168 is an apocalyptic number.

11973168 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 11973168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251064).

11973168 is an abundant number, since it is smaller than the sum of its proper divisors (24528960).

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

11973168 is a wasteful number, since it uses less digits than its factorization.

11973168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11973168 is about 3460.2265821764. The cubic root of 11973168 is about 228.7720824333.

The spelling of 11973168 in words is "eleven million, nine hundred seventy-three thousand, one hundred sixty-eight".