164664 has 24 divisors (see below), whose sum is σ = 446160. Its totient is φ = 54864.

The previous prime is 164663. The next prime is 164677. The reversal of 164664 is 466461.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×164664² = 54228465792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164663) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1072 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (18590).

2¹⁶⁴⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

164664 is an abundant number, since it is smaller than the sum of its proper divisors (281496).

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

164664 is a wasteful number, since it uses less digits than its factorization.

164664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2292 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 164664 is about 405.7881220539. The cubic root of 164664 is about 54.8108100222.

It can be divided in two parts, 164 and 664, that added together give a palindrome (828).

The spelling of 164664 in words is "one hundred sixty-four thousand, six hundred sixty-four".