11883168 has 144 divisors (see below), whose sum is σ = 38368512. Its totient is φ = 3484800.

The previous prime is 11883149. The next prime is 11883169. The reversal of 11883168 is 86138811.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11883169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383313 + ... + 383343.

It is an arithmetic number, because the mean of its divisors is an integer number (266448).

Almost surely, 2^11883168 is an apocalyptic number.

11883168 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 11883168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184256).

11883168 is an abundant number, since it is smaller than the sum of its proper divisors (26485344).

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

11883168 is a wasteful number, since it uses less digits than its factorization.

11883168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11883168 is about 3447.1971223010. The cubic root of 11883168 is about 228.1974282562.

It can be divided in two parts, 1188 and 3168, that added together give a square (4356 = 66²).

The spelling of 11883168 in words is "eleven million, eight hundred eighty-three thousand, one hundred sixty-eight".