20054800 has 60 divisors (see below), whose sum is σ = 48622756. Its totient is φ = 7948800.

The previous prime is 20054773. The next prime is 20054803. The reversal of 20054800 is 845002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7551504 + 12503296 = 2748^2 + 3536^2 .

It is not an unprimeable number, because it can be changed into a prime (20054803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72262 + ... + 72538.

Almost surely, 2^20054800 is an apocalyptic number.

20054800 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 20054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311378).

20054800 is an abundant number, since it is smaller than the sum of its proper divisors (28567956).

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

20054800 is a wasteful number, since it uses less digits than its factorization.

20054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20054800 is about 4478.2585901218. The cubic root of 20054800 is about 271.6894523818.

Adding to 20054800 its reverse (845002), we get a palindrome (20899802).

The spelling of 20054800 in words is "twenty million, fifty-four thousand, eight hundred".