20657168 has 40 divisors (see below), whose sum is σ = 46038720. Its totient is φ = 8795520.

The previous prime is 20657149. The next prime is 20657171. The reversal of 20657168 is 86175602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19763 + ... + 20781.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^20657168 is an apocalyptic number.

20657168 is a gapful number since it is divisible by the number (28) 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 20657168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

20657168 is an abundant number, since it is smaller than the sum of its proper divisors (25381552).

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

20657168 is a wasteful number, since it uses less digits than its factorization.

20657168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 20657168 is about 4545.0157315459. The cubic root of 20657168 is about 274.3828275087.

The spelling of 20657168 in words is "twenty million, six hundred fifty-seven thousand, one hundred sixty-eight".