18445800 has 96 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 4838400.

The previous prime is 18445733. The next prime is 18445807. The reversal of 18445800 is 854481.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18445807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42384 + ... + 42816.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 2^18445800 is an apocalyptic number.

18445800 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 18445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

18445800 is an abundant number, since it is smaller than the sum of its proper divisors (39675480).

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

18445800 is a wasteful number, since it uses less digits than its factorization.

18445800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 18445800 is about 4294.8573899491. The cubic root of 18445800 is about 264.2200873608.

The spelling of 18445800 in words is "eighteen million, four hundred forty-five thousand, eight hundred".