18368800 has 36 divisors (see below), whose sum is σ = 44844786. Its totient is φ = 7347200.

The previous prime is 18368767. The next prime is 18368821. The reversal of 18368800 is 886381.

It can be written as a sum of positive squares in 3 ways, for example, as 15085456 + 3283344 = 3884^2 + 1812^2 .

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 5 ways as a sum of consecutive naturals, for example, 10681 + ... + 12280.

Almost surely, 2^18368800 is an apocalyptic number.

18368800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18368800 is an abundant number, since it is smaller than the sum of its proper divisors (26475986).

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

18368800 is a wasteful number, since it uses less digits than its factorization.

18368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22981 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 18368800 is about 4285.8838061711. The cubic root of 18368800 is about 263.8519218557.

The spelling of 18368800 in words is "eighteen million, three hundred sixty-eight thousand, eight hundred".