166771940 has 36 divisors (see below), whose sum is σ = 361924668. Its totient is φ = 64549440.

The previous prime is 166771939. The next prime is 166771961. The reversal of 166771940 is 49177661.

It can be written as a sum of positive squares in 2 ways, for example, as 51724864 + 115047076 = 7192^2 + 10726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14882 + ... + 23558.

It is an arithmetic number, because the mean of its divisors is an integer number (10053463).

Almost surely, 2^166771940 is an apocalyptic number.

166771940 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 166771940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180962334).

166771940 is an abundant number, since it is smaller than the sum of its proper divisors (195152728).

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

166771940 is a wasteful number, since it uses less digits than its factorization.

166771940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 166771940 is about 12914.0210623957. The cubic root of 166771940 is about 550.4370520579.

The spelling of 166771940 in words is "one hundred sixty-six million, seven hundred seventy-one thousand, nine hundred forty".