166704384 has 144 divisors (see below), whose sum is σ = 553351680. Its totient is φ = 43284480.

The previous prime is 166704371. The next prime is 166704389. The reversal of 166704384 is 483407661.

166704384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166704389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57727 + ... + 60545.

It is an arithmetic number, because the mean of its divisors is an integer number (3842720).

Almost surely, 2^166704384 is an apocalyptic number.

166704384 is a gapful number since it is divisible by the number (14) 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 166704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276675840).

166704384 is an abundant number, since it is smaller than the sum of its proper divisors (386647296).

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

166704384 is a wasteful number, since it uses less digits than its factorization.

166704384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 166704384 is about 12911.4051907606. The cubic root of 166704384 is about 550.3627183149.

The spelling of 166704384 in words is "one hundred sixty-six million, seven hundred four thousand, three hundred eighty-four".