166404384 has 72 divisors (see below), whose sum is σ = 475517952. Its totient is φ = 55198080.

The previous prime is 166404383. The next prime is 166404391. The reversal of 166404384 is 483404661.

166404384 is a `hidden beast` number, since 1 + 6 + 640 + 4 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (166404383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62929 + ... + 65519.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^166404384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

166404384 is an abundant number, since it is smaller than the sum of its proper divisors (309113568).

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

166404384 is a wasteful number, since it uses less digits than its factorization.

166404384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 166404384 is about 12899.7823237448. The cubic root of 166404384 is about 550.0323771574.

It can be divided in two parts, 166 and 404384, that added together give a triangular number (404550 = T₈₉₉).

The spelling of 166404384 in words is "one hundred sixty-six million, four hundred four thousand, three hundred eighty-four".