320166 has 72 divisors (see below), whose sum is σ = 909720. Its totient is φ = 83160.

The previous prime is 320153. The next prime is 320179. The reversal of 320166 is 661023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320153) and next prime (320179).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29101 + ... + 29111.

It is an arithmetic number, because the mean of its divisors is an integer number (12635).

2³²⁰¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454860).

320166 is an abundant number, since it is smaller than the sum of its proper divisors (589554).

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

320166 is a wasteful number, since it uses less digits than its factorization.

320166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320166 is about 565.8321305829. The cubic root of 320166 is about 68.4108631561.

Multiplying 320166 by its product of nonzero digits (216), we get a square (69155856 = 8316²).

Adding to 320166 its reverse (661023), we get a palindrome (981189).

The spelling of 320166 in words is "three hundred twenty thousand, one hundred sixty-six".