166684320 has 288 divisors, whose sum is σ = 658082880. Its totient is φ = 37969920.

The previous prime is 166684313. The next prime is 166684333. The reversal of 166684320 is 23486661.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268971 + ... + 269589.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^166684320 is an apocalyptic number.

166684320 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 166684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

166684320 is an abundant number, since it is smaller than the sum of its proper divisors (491398560).

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

166684320 is a wasteful number, since it uses less digits than its factorization.

166684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 166684320 is about 12910.6281799144. The cubic root of 166684320 is about 550.3406374706.

It can be divided in two parts, 166 and 684320, that added together give a palindrome (684486).

The spelling of 166684320 in words is "one hundred sixty-six million, six hundred eighty-four thousand, three hundred twenty".