4086160 has 40 divisors (see below), whose sum is σ = 10233720. Its totient is φ = 1508352.

The previous prime is 4086151. The next prime is 4086167. The reversal of 4086160 is 616804.

4086160 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 4 ways, for example, as 21904 + 4064256 = 148^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086167) 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 7 ways as a sum of consecutive naturals, for example, 925 + ... + 3004.

It is an arithmetic number, because the mean of its divisors is an integer number (255843).

Almost surely, 2^4086160 is an apocalyptic number.

4086160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4086160 is an abundant number, since it is smaller than the sum of its proper divisors (6147560).

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

4086160 is a wasteful number, since it uses less digits than its factorization.

4086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4086160 is about 2021.4252397751. The cubic root of 4086160 is about 159.8717722627.

The spelling of 4086160 in words is "four million, eighty-six thousand, one hundred sixty".