11536 has 20 divisors (see below), whose sum is σ = 25792. Its totient is φ = 4896.

The previous prime is 11527. The next prime is 11549. The reversal of 11536 is 63511.

11536 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61 + ... + 163.

2¹¹⁵³⁶ is an apocalyptic number.

11536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896).

11536 is an abundant number, since it is smaller than the sum of its proper divisors (14256).

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

11536 is a wasteful number, since it uses less digits than its factorization.

11536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 11536 is about 107.4057726568. The cubic root of 11536 is about 22.5953158120.

It can be divided in two parts, 115 and 36, that added together give a palindrome (151).

The spelling of 11536 in words is "eleven thousand, five hundred thirty-six".