220971168 has 216 divisors, whose sum is σ = 733296564. Its totient is φ = 62853120.

The previous prime is 220971139. The next prime is 220971173. The reversal of 220971168 is 861179022.

It can be written as a sum of positive squares in 2 ways, for example, as 214681104 + 6290064 = 14652^2 + 2508^2 .

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 592230 + ... + 592602.

Almost surely, 2^220971168 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 220971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366648282).

220971168 is an abundant number, since it is smaller than the sum of its proper divisors (512325396).

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

220971168 is a wasteful number, since it uses less digits than its factorization.

220971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 220971168 is about 14865.0989905887. The cubic root of 220971168 is about 604.5680663544.

The spelling of 220971168 in words is "two hundred twenty million, nine hundred seventy-one thousand, one hundred sixty-eight".