11484 has 36 divisors (see below), whose sum is σ = 32760. Its totient is φ = 3360.

The previous prime is 11483. The next prime is 11489. The reversal of 11484 is 48411.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

2¹¹⁴⁸⁴ 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 11484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

11484 is an abundant number, since it is smaller than the sum of its proper divisors (21276).

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

11484 is a wasteful number, since it uses less digits than its factorization.

11484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 45 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11484 is about 107.1634265970. The cubic root of 11484 is about 22.5613142436.

Adding to 11484 its reverse (48411), we get a palindrome (59895).

It can be divided in two parts, 1 and 1484, that added together give a triangular number (1485 = T₅₄).

The spelling of 11484 in words is "eleven thousand, four hundred eighty-four".