36518560 has 96 divisors (see below), whose sum is σ = 94388112. Its totient is φ = 13271040.

The previous prime is 36518543. The next prime is 36518561. The reversal of 36518560 is 6581563.

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 35664784 = 924^2 + 5972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36518561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201670 + ... + 201850.

Almost surely, 2^36518560 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 36518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47194056).

36518560 is an abundant number, since it is smaller than the sum of its proper divisors (57869552).

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

36518560 is a wasteful number, since it uses less digits than its factorization.

36518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 36518560 is about 6043.0588281101. The cubic root of 36518560 is about 331.7705871448.

The spelling of 36518560 in words is "thirty-six million, five hundred eighteen thousand, five hundred sixty".