164268 has 54 divisors (see below), whose sum is σ = 466284. Its totient is φ = 50544.

The previous prime is 164267. The next prime is 164279. The reversal of 164268 is 862461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2304) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (164267) 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 17 ways as a sum of consecutive naturals, for example, 12630 + ... + 12642.

2¹⁶⁴²⁶⁸ is an apocalyptic number.

164268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233142).

164268 is an abundant number, since it is smaller than the sum of its proper divisors (302016).

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

164268 is a wasteful number, since it uses less digits than its factorization.

164268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 164268 is about 405.2998889711. The cubic root of 164268 is about 54.7668366309.

Multiplying 164268 by its sum of digits (27), we get a square (4435236 = 2106²).

164268 divided by its sum of digits (27) gives a square (6084 = 78²).

The spelling of 164268 in words is "one hundred sixty-four thousand, two hundred sixty-eight".