36138560 has 56 divisors (see below), whose sum is σ = 88855296. Its totient is φ = 13985280.

The previous prime is 36138559. The next prime is 36138563. The reversal of 36138560 is 6583163.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36138563) 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 7 ways as a sum of consecutive naturals, for example, 8099 + ... + 11741.

Almost surely, 2^36138560 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 36138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44427648).

36138560 is an abundant number, since it is smaller than the sum of its proper divisors (52716736).

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

36138560 is a wasteful number, since it uses less digits than its factorization.

36138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 36138560 is about 6011.5355775376. The cubic root of 36138560 is about 330.6158075901.

The spelling of 36138560 in words is "thirty-six million, one hundred thirty-eight thousand, five hundred sixty".