16160 has 24 divisors (see below), whose sum is σ = 38556. Its totient is φ = 6400.

The previous prime is 16141. The next prime is 16183. The reversal of 16160 is 6161.

16160 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 15376 + 784 = 124^2 + 28^2 .

It is a super-2 number, since 2×16160² = 522291200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110 + ... + 210.

2¹⁶¹⁶⁰ is an apocalyptic number.

16160 is a gapful number since it is divisible by the number (10) 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 16160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278).

16160 is an abundant number, since it is smaller than the sum of its proper divisors (22396).

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

16160 is a wasteful number, since it uses less digits than its factorization.

16160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 16160 is about 127.1219886566. The cubic root of 16160 is about 25.2821372973.

Subtracting from 16160 its reverse (6161), we obtain a palindrome (9999).

The spelling of 16160 in words is "sixteen thousand, one hundred sixty".