20160800 has 144 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 6988800.

The previous prime is 20160797. The next prime is 20160809. The reversal of 20160800 is 806102.

It is not an unprimeable number, because it can be changed into a prime (20160809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255161 + ... + 255239.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^20160800 is an apocalyptic number.

20160800 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 20160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20160800 is an abundant number, since it is smaller than the sum of its proper divisors (36085600).

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

20160800 is a wasteful number, since it uses less digits than its factorization.

20160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

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

The square root of 20160800 is about 4490.0779503256. The cubic root of 20160800 is about 272.1672846393.

Adding to 20160800 its reverse (806102), we get a palindrome (20966902).

The spelling of 20160800 in words is "twenty million, one hundred sixty thousand, eight hundred".