11488 has 12 divisors (see below), whose sum is σ = 22680. Its totient is φ = 5728.

The previous prime is 11483. The next prime is 11489. The reversal of 11488 is 88411.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

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

11488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 148 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹¹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

11488 is a deficient number, since it is larger than the sum of its proper divisors (11192).

11488 is an equidigital number, since it uses as much as digits as its factorization.

11488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 11488 is about 107.1820880558. The cubic root of 11488 is about 22.5639333886.

Adding to 11488 its reverse (88411), we get a palindrome (99899).

It can be divided in two parts, 1148 and 8, that added together give a square (1156 = 34²).

The spelling of 11488 in words is "eleven thousand, four hundred eighty-eight".