206164 has 24 divisors (see below), whose sum is σ = 425600. Its totient is φ = 85536.

The previous prime is 206153. The next prime is 206177. The reversal of 206164 is 461602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1135.

2²⁰⁶¹⁶⁴ 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 206164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212800).

206164 is an abundant number, since it is smaller than the sum of its proper divisors (219436).

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

206164 is a wasteful number, since it uses less digits than its factorization.

206164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206164 is about 454.0528603588. The cubic root of 206164 is about 59.0750744016.

Adding to 206164 its reverse (461602), we get a palindrome (667766).

The spelling of 206164 in words is "two hundred six thousand, one hundred sixty-four".