23406 has 16 divisors (see below), whose sum is σ = 48384. Its totient is φ = 7544.

The previous prime is 23399. The next prime is 23417. The reversal of 23406 is 60432.

23406 = T₅ + T₆ + ... + T₅₁.

It is a plaindrome in base 8 and base 12.

It is a nialpdrome in base 13.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

23406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2²³⁴⁰⁶ is an apocalyptic number.

23406 is an abundant number, since it is smaller than the sum of its proper divisors (24978).

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 (24192).

23406 is a wasteful number, since it uses less digits than its factorization.

23406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23406 is about 152.9901957643. The cubic root of 23406 is about 28.6050295163.

Adding to 23406 its reverse (60432), we get a palindrome (83838).

It can be divided in two parts, 2340 and 6, that added together give a triangular number (2346 = T₆₈).

The spelling of 23406 in words is "twenty-three thousand, four hundred six".