166384480 has 48 divisors (see below), whose sum is σ = 395421264. Its totient is φ = 66158080.

The previous prime is 166384459. The next prime is 166384489. The reversal of 166384480 is 84483661.

166384480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166384489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24675 + ... + 30685.

It is an arithmetic number, because the mean of its divisors is an integer number (8237943).

Almost surely, 2^166384480 is an apocalyptic number.

166384480 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 166384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197710632).

166384480 is an abundant number, since it is smaller than the sum of its proper divisors (229036784).

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

166384480 is a wasteful number, since it uses less digits than its factorization.

166384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6199 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 166384480 is about 12899.0108147873. The cubic root of 166384480 is about 550.0104460826.

The spelling of 166384480 in words is "one hundred sixty-six million, three hundred eighty-four thousand, four hundred eighty".