36986560 has 112 divisors (see below), whose sum is σ = 100620576. Its totient is φ = 12828672.

The previous prime is 36986533. The next prime is 36986561. The reversal of 36986560 is 6568963.

It is not an unprimeable number, because it can be changed into a prime (36986561) 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, 70459 + ... + 70981.

It is an arithmetic number, because the mean of its divisors is an integer number (898398).

Almost surely, 2^36986560 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 36986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50310288).

36986560 is an abundant number, since it is smaller than the sum of its proper divisors (63634016).

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

36986560 is a wasteful number, since it uses less digits than its factorization.

36986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 36986560 is about 6081.6576687610. The cubic root of 36986560 is about 333.1818333759.

The spelling of 36986560 in words is "thirty-six million, nine hundred eighty-six thousand, five hundred sixty".