11676 has 24 divisors (see below), whose sum is σ = 31360. Its totient is φ = 3312.

The previous prime is 11657. The next prime is 11677. The reversal of 11676 is 67611.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 153.

2¹¹⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680).

11676 is an abundant number, since it is smaller than the sum of its proper divisors (19684).

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

11676 is a wasteful number, since it uses less digits than its factorization.

11676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 11676 is about 108.0555412739. The cubic root of 11676 is about 22.6863535230.

The spelling of 11676 in words is "eleven thousand, six hundred seventy-six".