4160 has 28 divisors (see below), whose sum is σ = 10668. Its totient is φ = 1536.

The previous prime is 4159. The next prime is 4177. The reversal of 4160 is 614.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 3136 = 32^2 + 56^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (381).

4160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 64×65.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334).

4160 is an abundant number, since it is smaller than the sum of its proper divisors (6508).

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

4160 is a wasteful number, since it uses less digits than its factorization.

4160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4160 is about 64.4980619864. The cubic root of 4160 is about 16.0829030344.

Adding to 4160 its reverse (614), we get a palindrome (4774).

It can be divided in two parts, 41 and 60, that added together give a palindrome (101).

The spelling of 4160 in words is "four thousand, one hundred sixty".