11406 has 8 divisors (see below), whose sum is σ = 22824. Its totient is φ = 3800.

The previous prime is 11399. The next prime is 11411. The reversal of 11406 is 60411.

11406 is nontrivially palindromic in base 4.

11406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

11406 is an admirable number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 11391 and 11400.

It is a congruent number.

It is an unprimeable number.

11406 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 945 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (2853).

2¹¹⁴⁰⁶ is an apocalyptic number.

11406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (11412).

11406 is a wasteful number, since it uses less digits than its factorization.

11406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11406 is about 106.7988763986. The cubic root of 11406 is about 22.5101189053.

Adding to 11406 its reverse (60411), we get a palindrome (71817).

The spelling of 11406 in words is "eleven thousand, four hundred six".