166288 has 20 divisors (see below), whose sum is σ = 339760. Its totient is φ = 78624.

The previous prime is 166273. The next prime is 166289. The reversal of 166288 is 882661.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (166289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (16988).

2¹⁶⁶²⁸⁸ 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 166288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169880).

166288 is an abundant number, since it is smaller than the sum of its proper divisors (173472).

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

166288 is a wasteful number, since it uses less digits than its factorization.

166288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 166288 is about 407.7842566848. The cubic root of 166288 is about 54.9904115516.

It can be divided in two parts, 166 and 288, that added together give a palindrome (454).

The spelling of 166288 in words is "one hundred sixty-six thousand, two hundred eighty-eight".