18125600 has 72 divisors (see below), whose sum is σ = 44840880. Its totient is φ = 7153920.

The previous prime is 18125573. The next prime is 18125603. The reversal of 18125600 is 652181.

It is not an unprimeable number, because it can be changed into a prime (18125603) 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, 111119 + ... + 111281.

It is an arithmetic number, because the mean of its divisors is an integer number (622790).

Almost surely, 2^18125600 is an apocalyptic number.

18125600 is a gapful number since it is divisible by the number (10) 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 18125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420440).

18125600 is an abundant number, since it is smaller than the sum of its proper divisors (26715280).

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

18125600 is a wasteful number, since it uses less digits than its factorization.

18125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 18125600 is about 4257.4170573248. The cubic root of 18125600 is about 262.6822921239.

Adding to 18125600 its reverse (652181), we get a palindrome (18777781).

The spelling of 18125600 in words is "eighteen million, one hundred twenty-five thousand, six hundred".