166896 has 60 divisors (see below), whose sum is σ = 499720. Its totient is φ = 51840.

The previous prime is 166871. The next prime is 166909. The reversal of 166896 is 698661.

166896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 166896.

It is a congruent number.

It is an unprimeable number.

166896 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, 2706 + ... + 2766.

2¹⁶⁶⁸⁹⁶ is an apocalyptic number.

166896 is a gapful number since it is divisible by the number (16) 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 166896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249860).

166896 is an abundant number, since it is smaller than the sum of its proper divisors (332824).

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

166896 is a wasteful number, since it uses less digits than its factorization.

166896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 166896 is about 408.5290687332. The cubic root of 166896 is about 55.0573506458.

It can be divided in two parts, 1668 and 96, that added together give a square (1764 = 42²).

The spelling of 166896 in words is "one hundred sixty-six thousand, eight hundred ninety-six".