36180564 has 96 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 9694080.

The previous prime is 36180563. The next prime is 36180577. The reversal of 36180564 is 46508163.

It is a super-2 number, since 2×36180564² = 2618066422716192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36180563) 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, 117699 + ... + 118005.

It is an arithmetic number, because the mean of its divisors is an integer number (1069376).

Almost surely, 2^36180564 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 36180564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

36180564 is an abundant number, since it is smaller than the sum of its proper divisors (66479532).

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

36180564 is a wasteful number, since it uses less digits than its factorization.

36180564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36180564 is about 6015.0281794851. The cubic root of 36180564 is about 330.7438500418.

The spelling of 36180564 in words is "thirty-six million, one hundred eighty thousand, five hundred sixty-four".