36880 has 20 divisors (see below), whose sum is σ = 85932. Its totient is φ = 14720.

The previous prime is 36877. The next prime is 36887. The reversal of 36880 is 8863.

36880 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 24336 = 112^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (36887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151 + ... + 310.

2³⁶⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

36880 is an abundant number, since it is smaller than the sum of its proper divisors (49052).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966).

36880 is a wasteful number, since it uses less digits than its factorization.

36880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

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

The square root of 36880 is about 192.0416621465. The cubic root of 36880 is about 33.2861554812.

The spelling of 36880 in words is "thirty-six thousand, eight hundred eighty".