164168 has 8 divisors (see below), whose sum is σ = 307830. Its totient is φ = 82080.

The previous prime is 164149. The next prime is 164173. The reversal of 164168 is 861461.

It can be written as a sum of positive squares in only one way, i.e., 131044 + 33124 = 362^2 + 182^2 .

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

It is a super-2 number, since 2×164168² = 53902264448, which contains 22 as substring.

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 as a sum of consecutive naturals, namely, 10253 + ... + 10268.

2¹⁶⁴¹⁶⁸ is an apocalyptic number.

It is an amenable number.

164168 is a deficient number, since it is larger than the sum of its proper divisors (143662).

164168 is a wasteful number, since it uses less digits than its factorization.

164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20523 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 164168 is about 405.1765047482. The cubic root of 164168 is about 54.7557210649.

It can be divided in two parts, 16416 and 8, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 164168 in words is "one hundred sixty-four thousand, one hundred sixty-eight".