166918752 has 384 divisors, whose sum is σ = 657054720. Its totient is φ = 39813120.

The previous prime is 166918723. The next prime is 166918757. The reversal of 166918752 is 257819661.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166918698 and 166918707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166918757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864768 + ... + 864960.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 2^166918752 is an apocalyptic number.

166918752 is a gapful number since it is divisible by the number (12) 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 166918752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328527360).

166918752 is an abundant number, since it is smaller than the sum of its proper divisors (490135968).

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

166918752 is a wasteful number, since it uses less digits than its factorization.

166918752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 166918752 is about 12919.7040213776. The cubic root of 166918752 is about 550.5985241918.

Subtracting 166918752 from its reverse (257819661), we obtain a palindrome (90900909).

The spelling of 166918752 in words is "one hundred sixty-six million, nine hundred eighteen thousand, seven hundred fifty-two".