166858160 has 80 divisors (see below), whose sum is σ = 455405376. Its totient is φ = 55655424.

The previous prime is 166858147. The next prime is 166858183. The reversal of 166858160 is 61858661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 16694 + ... + 24746.

Almost surely, 2^166858160 is an apocalyptic number.

166858160 is a gapful number since it is divisible by the number (10) 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 166858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227702688).

166858160 is an abundant number, since it is smaller than the sum of its proper divisors (288547216).

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

166858160 is a wasteful number, since it uses less digits than its factorization.

166858160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8110 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 166858160 is about 12917.3588631732. The cubic root of 166858160 is about 550.5318931652.

The spelling of 166858160 in words is "one hundred sixty-six million, eight hundred fifty-eight thousand, one hundred sixty".