20541200 has 60 divisors (see below), whose sum is σ = 49991220. Its totient is φ = 8110080.

The previous prime is 20541197. The next prime is 20541203. The reversal of 20541200 is 214502.

It is an interprime number because it is at equal distance from previous prime (20541197) and next prime (20541203).

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 20502784 = 196^2 + 4528^2 .

It is not an unprimeable number, because it can be changed into a prime (20541203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35312 + ... + 35888.

It is an arithmetic number, because the mean of its divisors is an integer number (833187).

Almost surely, 2^20541200 is an apocalyptic number.

20541200 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 20541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995610).

20541200 is an abundant number, since it is smaller than the sum of its proper divisors (29450020).

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

20541200 is a wasteful number, since it uses less digits than its factorization.

20541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 20541200 is about 4532.2400642508. The cubic root of 20541200 is about 273.8684078717.

Adding to 20541200 its reverse (214502), we get a palindrome (20755702).

The spelling of 20541200 in words is "twenty million, five hundred forty-one thousand, two hundred".