20967168 has 72 divisors (see below), whose sum is σ = 58278528. Its totient is φ = 6679552.

The previous prime is 20967161. The next prime is 20967209. The reversal of 20967168 is 86176902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20967161) 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, 17071 + ... + 18257.

It is an arithmetic number, because the mean of its divisors is an integer number (809424).

Almost surely, 2^20967168 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 20967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139264).

20967168 is an abundant number, since it is smaller than the sum of its proper divisors (37311360).

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

20967168 is a wasteful number, since it uses less digits than its factorization.

20967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 20967168 is about 4578.9920288203. The cubic root of 20967168 is about 275.7485632806.

The spelling of 20967168 in words is "twenty million, nine hundred sixty-seven thousand, one hundred sixty-eight".