36218560 has 224 divisors, whose sum is σ = 111191040. Its totient is φ = 10948608.

The previous prime is 36218549. The next prime is 36218561. The reversal of 36218560 is 6581263.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36218561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978862 + ... + 978898.

Almost surely, 2^36218560 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 36218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

36218560 is an abundant number, since it is smaller than the sum of its proper divisors (74972480).

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

36218560 is a wasteful number, since it uses less digits than its factorization.

36218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 36218560 is about 6018.1857731379. The cubic root of 36218560 is about 330.8595894088.

The spelling of 36218560 in words is "thirty-six million, two hundred eighteen thousand, five hundred sixty".