36080 has 40 divisors (see below), whose sum is σ = 93744. Its totient is φ = 12800.

The previous prime is 36073. The next prime is 36083. The reversal of 36080 is 8063.

36080 = T₅₉ + T₆₀ + ... + T₇₄.

It is a happy number.

36080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

36080 is strictly pandigital in base 6.

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 (36083) by changing a digit.

36080 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 860 + ... + 900.

2³⁶⁰⁸⁰ is an apocalyptic number.

36080 is the 110-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

36080 is an abundant number, since it is smaller than the sum of its proper divisors (57664).

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

36080 is a wasteful number, since it uses less digits than its factorization.

36080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36080 is about 189.9473611293. The cubic root of 36080 is about 33.0437131141.

Subtracting from 36080 its sum of digits (17), we obtain a palindrome (36063).

The spelling of 36080 in words is "thirty-six thousand, eighty".