20531200 has 72 divisors (see below), whose sum is σ = 51031890. Its totient is φ = 8192000.

The previous prime is 20531183. The next prime is 20531213. The reversal of 20531200 is 213502.

It can be written as a sum of positive squares in 3 ways, for example, as 19784704 + 746496 = 4448^2 + 864^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 51000 + ... + 51400.

Almost surely, 2^20531200 is an apocalyptic number.

20531200 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 20531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515945).

20531200 is an abundant number, since it is smaller than the sum of its proper divisors (30500690).

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

20531200 is an equidigital number, since it uses as much as digits as its factorization.

20531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 20531200 is about 4531.1367227220. The cubic root of 20531200 is about 273.8239585273.

Adding to 20531200 its reverse (213502), we get a palindrome (20744702).

The spelling of 20531200 in words is "twenty million, five hundred thirty-one thousand, two hundred".