32406 has 16 divisors (see below), whose sum is σ = 70848. Its totient is φ = 9800.

The previous prime is 32401. The next prime is 32411. The reversal of 32406 is 60423.

It is an interprime number because it is at equal distance from previous prime (32401) and next prime (32411).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32406.

It is not an unprimeable number, because it can be changed into a prime (32401) 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, 180 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4428).

2³²⁴⁰⁶ is an apocalyptic number.

32406 is an abundant number, since it is smaller than the sum of its proper divisors (38442).

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 (35424).

32406 is a wasteful number, since it uses less digits than its factorization.

32406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507.

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

The square root of 32406 is about 180.0166658951. The cubic root of 32406 is about 31.8817248403.

Adding to 32406 its reverse (60423), we get a palindrome (92829).

The spelling of 32406 in words is "thirty-two thousand, four hundred six".