20125600 has 72 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 7315200.

The previous prime is 20125583. The next prime is 20125601. The reversal of 20125600 is 652102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20125601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7657 + ... + 9943.

It is an arithmetic number, because the mean of its divisors is an integer number (744744).

Almost surely, 2^20125600 is an apocalyptic number.

20125600 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 20125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

20125600 is an abundant number, since it is smaller than the sum of its proper divisors (33495968).

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

20125600 is a wasteful number, since it uses less digits than its factorization.

20125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20125600 is about 4486.1564841187. The cubic root of 20125600 is about 272.0087944100.

Adding to 20125600 its reverse (652102), we get a palindrome (20777702).

The spelling of 20125600 in words is "twenty million, one hundred twenty-five thousand, six hundred".