164408 has 8 divisors (see below), whose sum is σ = 308280. Its totient is φ = 82200.

The previous prime is 164387. The next prime is 164413. The reversal of 164408 is 804461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×164408³ = 13331840016615936, which contains 333 as substring.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

164408 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 as a sum of consecutive naturals, namely, 10268 + ... + 10283.

It is an arithmetic number, because the mean of its divisors is an integer number (38535).

2¹⁶⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

164408 is a deficient number, since it is larger than the sum of its proper divisors (143872).

164408 is a wasteful number, since it uses less digits than its factorization.

164408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557 (or 20553 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 164408 is about 405.4725638067. The cubic root of 164408 is about 54.7823908470.

Adding to 164408 its reverse (804461), we get a palindrome (968869).

The spelling of 164408 in words is "one hundred sixty-four thousand, four hundred eight".