20613200 has 60 divisors (see below), whose sum is σ = 51259740. Its totient is φ = 7956480.

The previous prime is 20613193. The next prime is 20613209. The reversal of 20613200 is 231602.

It can be written as a sum of positive squares in 6 ways, for example, as 327184 + 20286016 = 572^2 + 4504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20613209) 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, 10712 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (854329).

Almost surely, 2^20613200 is an apocalyptic number.

20613200 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 20613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25629870).

20613200 is an abundant number, since it is smaller than the sum of its proper divisors (30646540).

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

20613200 is a wasteful number, since it uses less digits than its factorization.

20613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1813 counting only the distinct ones).

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

The square root of 20613200 is about 4540.1762080342. The cubic root of 20613200 is about 274.1880180750.

Adding to 20613200 its reverse (231602), we get a palindrome (20844802).

The spelling of 20613200 in words is "twenty million, six hundred thirteen thousand, two hundred".