4089168 has 60 divisors (see below), whose sum is σ = 11630580. Its totient is φ = 1340928.

The previous prime is 4089167. The next prime is 4089191. The reversal of 4089168 is 8619804.

It is a happy number.

4089168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 2471184 = 1272^2 + 1572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089167) 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 11 ways as a sum of consecutive naturals, for example, 10318 + ... + 10706.

It is an arithmetic number, because the mean of its divisors is an integer number (193843).

Almost surely, 2^4089168 is an apocalyptic number.

4089168 is a gapful number since it is divisible by the number (48) 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 4089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815290).

4089168 is an abundant number, since it is smaller than the sum of its proper divisors (7541412).

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

4089168 is a wasteful number, since it uses less digits than its factorization.

4089168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4089168 is about 2022.1691323922. The cubic root of 4089168 is about 159.9109921609.

The spelling of 4089168 in words is "four million, eighty-nine thousand, one hundred sixty-eight".