166182840 has 224 divisors, whose sum is σ = 578415600. Its totient is φ = 42923520.

The previous prime is 166182839. The next prime is 166182851. The reversal of 166182840 is 48281661.

166182840 is a `hidden beast` number, since 16 + 618 + 28 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166182795 and 166182804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1195491 + ... + 1195629.

Almost surely, 2^166182840 is an apocalyptic number.

166182840 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 166182840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289207800).

166182840 is an abundant number, since it is smaller than the sum of its proper divisors (412232760).

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

166182840 is a wasteful number, since it uses less digits than its factorization.

166182840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166182840 is about 12891.1923420605. The cubic root of 166182840 is about 549.7881718701.

The spelling of 166182840 in words is "one hundred sixty-six million, one hundred eighty-two thousand, eight hundred forty".