20180800 has 42 divisors (see below), whose sum is σ = 49661318. Its totient is φ = 8071680.

The previous prime is 20180767. The next prime is 20180801. The reversal of 20180800 is 808102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 891136 + 19289664 = 944^2 + 4392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20180801) 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 5 ways as a sum of consecutive naturals, for example, 4707 + ... + 7906.

Almost surely, 2^20180800 is an apocalyptic number.

20180800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20180800 is an abundant number, since it is smaller than the sum of its proper divisors (29480518).

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

20180800 is a wasteful number, since it uses less digits than its factorization.

20180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 20180800 is about 4492.3045310842. The cubic root of 20180800 is about 272.2572537329.

Adding to 20180800 its reverse (808102), we get a palindrome (20988902).

The spelling of 20180800 in words is "twenty million, one hundred eighty thousand, eight hundred".