11520 has 54 divisors (see below), whose sum is σ = 39858. Its totient is φ = 3072.

The previous prime is 11519. The next prime is 11527. The reversal of 11520 is 2511.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)⁴.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 2304 = 96^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2302 + ... + 2306.

2¹¹⁵²⁰ is an apocalyptic number.

11520 is a gapful number since it is divisible by the number (10) 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 11520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929).

11520 is an abundant number, since it is smaller than the sum of its proper divisors (28338).

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

11520 is an equidigital number, since it uses as much as digits as its factorization.

11520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11520 is about 107.3312629200. The cubic root of 11520 is about 22.5848646931.

Subtracting from 11520 its reverse (2511), we obtain a palindrome (9009).

It can be divided in two parts, 1 and 1520, that added together give a square (1521 = 39²).

The spelling of 11520 in words is "eleven thousand, five hundred twenty".