166182030 has 240 divisors, whose sum is σ = 536310720. Its totient is φ = 36796032.

The previous prime is 166182001. The next prime is 166182047. The reversal of 166182030 is 30281661.

166182030 is a `hidden beast` number, since 16 + 618 + 2 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 166181985 and 166182003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2103531 + ... + 2103609.

It is an arithmetic number, because the mean of its divisors is an integer number (2234628).

Almost surely, 2^166182030 is an apocalyptic number.

166182030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166182030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268155360).

166182030 is an abundant number, since it is smaller than the sum of its proper divisors (370128690).

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

166182030 is a wasteful number, since it uses less digits than its factorization.

166182030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166182030 is about 12891.1609252231. The cubic root of 166182030 is about 549.7872786187.

The spelling of 166182030 in words is "one hundred sixty-six million, one hundred eighty-two thousand, thirty".