11680 has 24 divisors (see below), whose sum is σ = 27972. Its totient is φ = 4608.

The previous prime is 11677. The next prime is 11681. The reversal of 11680 is 8611.

11680 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 16 = 108^2 + 4^2 .

It is a super-4 number, since 4×11680⁴ = 74444284887040000, which contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 196.

2¹¹⁶⁸⁰ is an apocalyptic number.

11680 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 11680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986).

11680 is an abundant number, since it is smaller than the sum of its proper divisors (16292).

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

11680 is an equidigital number, since it uses as much as digits as its factorization.

11680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11680 is about 108.0740486889. The cubic root of 11680 is about 22.6889438808.

Subtracting from 11680 its sum of digits (16), we obtain a square (11664 = 108²).

It can be divided in two parts, 116 and 80, that added together give a square (196 = 14²).

The spelling of 11680 in words is "eleven thousand, six hundred eighty".