20305600 has 168 divisors, whose sum is σ = 59842400. Its totient is φ = 6773760.

The previous prime is 20305591. The next prime is 20305601. The reversal of 20305600 is 650302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (20305601) 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, 548782 + ... + 548818.

Almost surely, 2^20305600 is an apocalyptic number.

20305600 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 20305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921200).

20305600 is an abundant number, since it is smaller than the sum of its proper divisors (39536800).

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

20305600 is an equidigital number, since it uses as much as digits as its factorization.

20305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20305600 is about 4506.1735430407. The cubic root of 20305600 is about 272.8173224525.

Adding to 20305600 its reverse (650302), we get a palindrome (20955902).

The spelling of 20305600 in words is "twenty million, three hundred five thousand, six hundred".