164008 has 32 divisors (see below), whose sum is σ = 352800. Its totient is φ = 70848.

The previous prime is 163997. The next prime is 164011. The reversal of 164008 is 800461.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2¹⁶⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

164008 is an abundant number, since it is smaller than the sum of its proper divisors (188792).

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

164008 is a wasteful number, since it uses less digits than its factorization.

164008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 164008 is about 404.9790118018. The cubic root of 164008 is about 54.7379267666.

Adding to 164008 its reverse (800461), we get a palindrome (964469).

It can be divided in two parts, 1 and 64008, that added together give a square (64009 = 253²).

The spelling of 164008 in words is "one hundred sixty-four thousand, eight".