36160 has 28 divisors (see below), whose sum is σ = 86868. Its totient is φ = 14336.

The previous prime is 36151. The next prime is 36161. The reversal of 36160 is 6163.

It is a happy number.

36160 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 30976 = 72^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

36160 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome 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 (36161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264 + ... + 376.

2³⁶¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43434).

36160 is an abundant number, since it is smaller than the sum of its proper divisors (50708).

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

36160 is a wasteful number, since it uses less digits than its factorization.

36160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 36160 is about 190.1578291841. The cubic root of 36160 is about 33.0681176378.

It can be divided in two parts, 36 and 160, that added together give a square (196 = 14²).

The spelling of 36160 in words is "thirty-six thousand, one hundred sixty".