20025600 has 216 divisors, whose sum is σ = 76036800. Its totient is φ = 4546560.

The previous prime is 20025583. The next prime is 20025611. The reversal of 20025600 is 652002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20025600.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 134326 + ... + 134474.

Almost surely, 2^20025600 is an apocalyptic number.

20025600 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 20025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38018400).

20025600 is an abundant number, since it is smaller than the sum of its proper divisors (56011200).

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

20025600 is a wasteful number, since it uses less digits than its factorization.

20025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20025600 is about 4474.9972067030. The cubic root of 20025600 is about 271.5575274318.

Adding to 20025600 its reverse (652002), we get a palindrome (20677602).

The spelling of 20025600 in words is "twenty million, twenty-five thousand, six hundred".