20727168 has 128 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 5376000.

The previous prime is 20727167. The next prime is 20727193. The reversal of 20727168 is 86172702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20727167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29218 + ... + 29918.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 2^20727168 is an apocalyptic number.

20727168 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 20727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

20727168 is an abundant number, since it is smaller than the sum of its proper divisors (48012672).

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

20727168 is a wasteful number, since it uses less digits than its factorization.

20727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 20727168 is about 4552.7099622093. The cubic root of 20727168 is about 274.6924075958.

The spelling of 20727168 in words is "twenty million, seven hundred twenty-seven thousand, one hundred sixty-eight".