20881168 has 80 divisors (see below), whose sum is σ = 53460864. Its totient is φ = 7649280.

The previous prime is 20881163. The next prime is 20881181. The reversal of 20881168 is 86118802.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (20881163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20446 + ... + 21442.

Almost surely, 2^20881168 is an apocalyptic number.

20881168 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 20881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730432).

20881168 is an abundant number, since it is smaller than the sum of its proper divisors (32579696).

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

20881168 is a wasteful number, since it uses less digits than its factorization.

20881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 20881168 is about 4569.5916666591. The cubic root of 20881168 is about 275.3710385520.

It can be divided in two parts, 20 and 881168, that added together give a palindrome (881188).

The spelling of 20881168 in words is "twenty million, eight hundred eighty-one thousand, one hundred sixty-eight".