11720 has 16 divisors (see below), whose sum is σ = 26460. Its totient is φ = 4672.

The previous prime is 11719. The next prime is 11731. The reversal of 11720 is 2711.

11720 = T₃₀ + T₃₁ + ... + T₄₅.

11720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 484 = 106^2 + 22^2 .

It is an unprimeable 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, 107 + ... + 186.

2¹¹⁷²⁰ is an apocalyptic number.

11720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11720 is an abundant number, since it is smaller than the sum of its proper divisors (14740).

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 (13230).

11720 is a wasteful number, since it uses less digits than its factorization.

11720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 11720 is about 108.2589488218. The cubic root of 11720 is about 22.7148149908.

Subtracting from 11720 its reverse (2711), we obtain a palindrome (9009).

The spelling of 11720 in words is "eleven thousand, seven hundred twenty", and thus it is an iban number.