18848800 has 36 divisors (see below), whose sum is σ = 46016586. Its totient is φ = 7539200.

The previous prime is 18848773. The next prime is 18848803. The reversal of 18848800 is 884881.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 7639696 = 3348^2 + 2764^2 .

It is a super-2 number, since 2×18848800² = 710554522880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18848800.

It is not an unprimeable number, because it can be changed into a prime (18848803) 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 5 ways as a sum of consecutive naturals, for example, 10981 + ... + 12580.

Almost surely, 2^18848800 is an apocalyptic number.

18848800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18848800 is an abundant number, since it is smaller than the sum of its proper divisors (27167786).

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

18848800 is a wasteful number, since it uses less digits than its factorization.

18848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23581 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 18848800 is about 4341.5204709871. The cubic root of 18848800 is about 266.1304502704.

The spelling of 18848800 in words is "eighteen million, eight hundred forty-eight thousand, eight hundred".