166205160 has 288 divisors, whose sum is σ = 633765600. Its totient is φ = 37359360.

The previous prime is 166205131. The next prime is 166205161. The reversal of 166205160 is 61502661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (166205161) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3536257 + ... + 3536303.

It is an arithmetic number, because the mean of its divisors is an integer number (2200575).

Almost surely, 2^166205160 is an apocalyptic number.

166205160 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 166205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316882800).

166205160 is an abundant number, since it is smaller than the sum of its proper divisors (467560440).

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

166205160 is a wasteful number, since it uses less digits than its factorization.

166205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 166205160 is about 12892.0580203473. The cubic root of 166205160 is about 549.8127847656.

The spelling of 166205160 in words is "one hundred sixty-six million, two hundred five thousand, one hundred sixty".