20811168 has 240 divisors, whose sum is σ = 74156544. Its totient is φ = 5598720.

The previous prime is 20811157. The next prime is 20811173. The reversal of 20811168 is 86111802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562446 + ... + 562482.

Almost surely, 2^20811168 is an apocalyptic number.

20811168 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 20811168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37078272).

20811168 is an abundant number, since it is smaller than the sum of its proper divisors (53345376).

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

20811168 is a wasteful number, since it uses less digits than its factorization.

20811168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 20811168 is about 4561.9259090871. The cubic root of 20811168 is about 275.0629850221.

It can be divided in two parts, 2081 and 1168, that added together give a square (3249 = 57²).

The spelling of 20811168 in words is "twenty million, eight hundred eleven thousand, one hundred sixty-eight".