166796 has 36 divisors (see below), whose sum is σ = 363888. Its totient is φ = 66528.

The previous prime is 166783. The next prime is 166799. The reversal of 166796 is 697661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (166799) by changing a digit.

166796 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 11 ways as a sum of consecutive naturals, for example, 4490 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2¹⁶⁶⁷⁹⁶ 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 166796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944).

166796 is an abundant number, since it is smaller than the sum of its proper divisors (197092).

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

166796 is a wasteful number, since it uses less digits than its factorization.

166796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 166796 is about 408.4066600828. The cubic root of 166796 is about 55.0463521096.

The spelling of 166796 in words is "one hundred sixty-six thousand, seven hundred ninety-six".