11865168 has 120 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 3324672.

The previous prime is 11865151. The next prime is 11865169. The reversal of 11865168 is 86156811.

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

Its product of digits (11520) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11865169) 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, 79558 + ... + 79706.

It is an arithmetic number, because the mean of its divisors is an integer number (322400).

Almost surely, 2^11865168 is an apocalyptic number.

11865168 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 11865168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

11865168 is an abundant number, since it is smaller than the sum of its proper divisors (26822832).

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

11865168 is a wasteful number, since it uses less digits than its factorization.

11865168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11865168 is about 3444.5853161157. The cubic root of 11865168 is about 228.0821495296.

The spelling of 11865168 in words is "eleven million, eight hundred sixty-five thousand, one hundred sixty-eight".