664164 has 36 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 209520.

The previous prime is 664151. The next prime is 664177. The reversal of 664164 is 461466.

It is an interprime number because it is at equal distance from previous prime (664151) and next prime (664177).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×664164² = 882227637792, which contains 22 as substring.

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

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 199 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁶⁶⁴¹⁶⁴ 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 664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

664164 is an abundant number, since it is smaller than the sum of its proper divisors (1104876).

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

664164 is a wasteful number, since it uses less digits than its factorization.

664164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

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

The square root of 664164 is about 814.9625758279. The cubic root of 664164 is about 87.2485953639.

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

The spelling of 664164 in words is "six hundred sixty-four thousand, one hundred sixty-four".