11620 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 3936.

The previous prime is 11617. The next prime is 11621. The reversal of 11620 is 2611.

11620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11597 and 11606.

It is not an unprimeable number, because it can be changed into a prime (11621) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹¹⁶²⁰ is an apocalyptic number.

11620 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 11620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

11620 is an abundant number, since it is smaller than the sum of its proper divisors (16604).

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

11620 is a wasteful number, since it uses less digits than its factorization.

11620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11620 is about 107.7961038257. The cubic root of 11620 is about 22.6500262334.

Subtracting from 11620 its reverse (2611), we obtain a palindrome (9009).

It can be divided in two parts, 116 and 20, that added together give a triangular number (136 = T₁₆).

The spelling of 11620 in words is "eleven thousand, six hundred twenty".