20631200 has 144 divisors (see below), whose sum is σ = 56105784. Its totient is φ = 7372800.

The previous prime is 20631173. The next prime is 20631203. The reversal of 20631200 is 213602.

It can be written as a sum of positive squares in 12 ways, for example, as 2347024 + 18284176 = 1532^2 + 4276^2 .

It is not an unprimeable number, because it can be changed into a prime (20631203) 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, 503180 + ... + 503220.

Almost surely, 2^20631200 is an apocalyptic number.

20631200 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 20631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052892).

20631200 is an abundant number, since it is smaller than the sum of its proper divisors (35474584).

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

20631200 is a wasteful number, since it uses less digits than its factorization.

20631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 20631200 is about 4542.1580773901. The cubic root of 20631200 is about 274.2678043034.

Adding to 20631200 its reverse (213602), we get a palindrome (20844802).

The spelling of 20631200 in words is "twenty million, six hundred thirty-one thousand, two hundred".