166005936 has 60 divisors (see below), whose sum is σ = 481804232. Its totient is φ = 55334016.

The previous prime is 166005919. The next prime is 166005937. The reversal of 166005936 is 639500661.

166005936 is a `hidden beast` number, since 1 + 6 + 60 + 0 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166005936.

It is not an unprimeable number, because it can be changed into a prime (166005937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17461 + ... + 25236.

Almost surely, 2^166005936 is an apocalyptic number.

166005936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166005936 is an abundant number, since it is smaller than the sum of its proper divisors (315798296).

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

166005936 is an equidigital number, since it uses as much as digits as its factorization.

166005936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42720 (or 42702 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 166005936 is about 12884.3290861418. The cubic root of 166005936 is about 549.5930168255.

The spelling of 166005936 in words is "one hundred sixty-six million, five thousand, nine hundred thirty-six".