36036560 has 120 divisors (see below), whose sum is σ = 101143080. Its totient is φ = 11891712.

The previous prime is 36036527. The next prime is 36036569. The reversal of 36036560 is 6563063.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 35904064 = 364^2 + 5992^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36036569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113522 + ... + 113838.

It is an arithmetic number, because the mean of its divisors is an integer number (842859).

Almost surely, 2^36036560 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 36036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50571540).

36036560 is an abundant number, since it is smaller than the sum of its proper divisors (65106520).

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

36036560 is a wasteful number, since it uses less digits than its factorization.

36036560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 36036560 is about 6003.0458935444. The cubic root of 36036560 is about 330.3044634245.

The spelling of 36036560 in words is "thirty-six million, thirty-six thousand, five hundred sixty".