11787168 has 48 divisors (see below), whose sum is σ = 31147200. Its totient is φ = 3902976.

The previous prime is 11787157. The next prime is 11787179. The reversal of 11787168 is 86178711.

It is an interprime number because it is at equal distance from previous prime (11787157) and next prime (11787179).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18796 + ... + 19412.

It is an arithmetic number, because the mean of its divisors is an integer number (648900).

Almost surely, 2^11787168 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 11787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573600).

11787168 is an abundant number, since it is smaller than the sum of its proper divisors (19360032).

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

11787168 is a wasteful number, since it uses less digits than its factorization.

11787168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 18816, while the sum is 39.

The square root of 11787168 is about 3433.2445295959. The cubic root of 11787168 is about 227.5812566480.

The spelling of 11787168 in words is "eleven million, seven hundred eighty-seven thousand, one hundred sixty-eight".