166500 has 72 divisors (see below), whose sum is σ = 539448. Its totient is φ = 43200.

The previous prime is 166487. The next prime is 166541. The reversal of 166500 is 5661.

166500 is a `hidden beast` number, since 1 + 665 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 166464 = 6^2 + 408^2 .

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

It is an unprimeable number.

166500 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 4482 + ... + 4518.

2¹⁶⁶⁵⁰⁰ is an apocalyptic number.

166500 is a gapful number since it is divisible by the number (10) 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 166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269724).

166500 is an abundant number, since it is smaller than the sum of its proper divisors (372948).

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

166500 is a wasteful number, since it uses less digits than its factorization.

166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 166500 is about 408.0441152621. The cubic root of 166500 is about 55.0137706566.

It can be divided in two parts, 166 and 500, that added together give a palindrome (666).

The spelling of 166500 in words is "one hundred sixty-six thousand, five hundred".