166692 has 24 divisors (see below), whose sum is σ = 403200. Its totient is φ = 53536.

The previous prime is 166679. The next prime is 166693. The reversal of 166692 is 296661.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (166693) by changing a digit.

166692 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 7 ways as a sum of consecutive naturals, for example, 109 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2¹⁶⁶⁶⁹² is an apocalyptic number.

166692 is a gapful number since it is divisible by the number (12) 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 166692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

166692 is an abundant number, since it is smaller than the sum of its proper divisors (236508).

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

166692 is a wasteful number, since it uses less digits than its factorization.

166692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 166692 is about 408.2793161550. The cubic root of 166692 is about 55.0349089678.

It can be divided in two parts, 166 and 692, that added together give a palindrome (858).

The spelling of 166692 in words is "one hundred sixty-six thousand, six hundred ninety-two".