36560 has 20 divisors (see below), whose sum is σ = 85188. Its totient is φ = 14592.

The previous prime is 36559. The next prime is 36563. The reversal of 36560 is 6563.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 13456 = 152^2 + 116^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36563) by changing a digit.

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, 149 + ... + 308.

2³⁶⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

36560 is an abundant number, since it is smaller than the sum of its proper divisors (48628).

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 (42594).

36560 is a wasteful number, since it uses less digits than its factorization.

36560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 36560 is about 191.2066944435. The cubic root of 36560 is about 33.1896033639.

The spelling of 36560 in words is "thirty-six thousand, five hundred sixty".