166917128 has 96 divisors (see below), whose sum is σ = 389743200. Its totient is φ = 66624768.

The previous prime is 166917089. The next prime is 166917133. The reversal of 166917128 is 821719661.

It is a super-2 number, since 2×166917128² = 55722655239536768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543551 + ... + 543857.

It is an arithmetic number, because the mean of its divisors is an integer number (4059825).

Almost surely, 2^166917128 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 166917128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194871600).

166917128 is an abundant number, since it is smaller than the sum of its proper divisors (222826072).

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

166917128 is a wasteful number, since it uses less digits than its factorization.

166917128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 36288, while the sum is 41.

The square root of 166917128 is about 12919.6411714877. The cubic root of 166917128 is about 550.5967385429.

The spelling of 166917128 in words is "one hundred sixty-six million, nine hundred seventeen thousand, one hundred twenty-eight".