166393170 has 64 divisors (see below), whose sum is σ = 454567680. Its totient is φ = 43286400.

The previous prime is 166393159. The next prime is 166393189. The reversal of 166393170 is 71393661.

166393170 is a `hidden beast` number, since 1 + 6 + 639 + 3 + 17 + 0 = 666.

166393170 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3555 + ... + 18585.

It is an arithmetic number, because the mean of its divisors is an integer number (7102620).

Almost surely, 2^166393170 is an apocalyptic number.

166393170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166393170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227283840).

166393170 is an abundant number, since it is smaller than the sum of its proper divisors (288174510).

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

166393170 is a wasteful number, since it uses less digits than its factorization.

166393170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 166393170 is about 12899.3476579244. The cubic root of 166393170 is about 550.0200213097.

The spelling of 166393170 in words is "one hundred sixty-six million, three hundred ninety-three thousand, one hundred seventy".