20168000 has 56 divisors (see below), whose sum is σ = 49965864. Its totient is φ = 8064000.

The previous prime is 20167999. The next prime is 20168009. The reversal of 20168000 is 86102.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 13897984 = 2504^2 + 3728^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20168000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6740 + ... + 9260.

Almost surely, 2^20168000 is an apocalyptic number.

20168000 is a gapful number since it is divisible by the number (20) 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 20168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24982932).

20168000 is an abundant number, since it is smaller than the sum of its proper divisors (29797864).

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

20168000 is an equidigital number, since it uses as much as digits as its factorization.

20168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 20168000 is about 4490.8796465726. The cubic root of 20168000 is about 272.1996803646.

The spelling of 20168000 in words is "twenty million, one hundred sixty-eight thousand".