166887168 has 144 divisors (see below), whose sum is σ = 521955840. Its totient is φ = 46338048.

The previous prime is 166887121. The next prime is 166887169. The reversal of 166887168 is 861788661.

166887168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 166887168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166887169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198493 + ... + 199331.

Almost surely, 2^166887168 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 166887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260977920).

166887168 is an abundant number, since it is smaller than the sum of its proper divisors (355068672).

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

166887168 is an equidigital number, since it uses as much as digits as its factorization.

166887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 166887168 is about 12918.4816445277. The cubic root of 166887168 is about 550.5637943197.

The spelling of 166887168 in words is "one hundred sixty-six million, eight hundred eighty-seven thousand, one hundred sixty-eight".