11496 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 3824.

The previous prime is 11491. The next prime is 11497. The reversal of 11496 is 69411.

11496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11496.

It is not an unprimeable number, because it can be changed into a prime (11491) by changing a digit.

11496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2¹¹⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

11496 is an abundant number, since it is smaller than the sum of its proper divisors (17304).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

11496 is a wasteful number, since it uses less digits than its factorization.

11496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11496 is about 107.2194012294. The cubic root of 11496 is about 22.5691698551.

It can be divided in two parts, 114 and 96, that added together give a triangular number (210 = T₂₀).

The spelling of 11496 in words is "eleven thousand, four hundred ninety-six".