166536 has 40 divisors (see below), whose sum is σ = 468270. Its totient is φ = 55296.

The previous prime is 166487. The next prime is 166541. The reversal of 166536 is 635661.

166536 is a `hidden beast` number, since 1 + 6 + 653 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 72900 = 306^2 + 270^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166536.

It is an unprimeable number.

166536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 520 + ... + 776.

2¹⁶⁶⁵³⁶ 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 166536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234135).

166536 is an abundant number, since it is smaller than the sum of its proper divisors (301734).

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

166536 is a wasteful number, since it uses less digits than its factorization.

166536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 166536 is about 408.0882257552. The cubic root of 166536 is about 55.0177353273.

The spelling of 166536 in words is "one hundred sixty-six thousand, five hundred thirty-six".