20171268 has 60 divisors (see below), whose sum is σ = 56799820. Its totient is φ = 6205248.

The previous prime is 20171233. The next prime is 20171279. The reversal of 20171268 is 86217102.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 18045504 = 1458^2 + 4248^2 .

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 19 ways as a sum of consecutive naturals, for example, 1818 + ... + 6606.

Almost surely, 2^20171268 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 20171268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28399910).

20171268 is an abundant number, since it is smaller than the sum of its proper divisors (36628552).

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

20171268 is a wasteful number, since it uses less digits than its factorization.

20171268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20171268 is about 4491.2434803738. The cubic root of 20171268 is about 272.2143818804.

The spelling of 20171268 in words is "twenty million, one hundred seventy-one thousand, two hundred sixty-eight".