164406 has 32 divisors (see below), whose sum is σ = 373248. Its totient is φ = 47840.

The previous prime is 164387. The next prime is 164413. The reversal of 164406 is 604461.

It is a super-3 number, since 3×164406³ = 13331353482706248, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

164406 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 15 ways as a sum of consecutive naturals, for example, 3076 + ... + 3128.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹⁶⁴⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624).

164406 is an abundant number, since it is smaller than the sum of its proper divisors (208842).

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

164406 is a wasteful number, since it uses less digits than its factorization.

164406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164406 is about 405.4700975411. The cubic root of 164406 is about 54.7821687061.

Adding to 164406 its reverse (604461), we get a palindrome (768867).

The spelling of 164406 in words is "one hundred sixty-four thousand, four hundred six".