18382000 has 160 divisors (see below), whose sum is σ = 55246464. Its totient is φ = 5760000.

The previous prime is 18381989. The next prime is 18382003. The reversal of 18382000 is 28381.

It is not an unprimeable number, because it can be changed into a prime (18382003) 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 31 ways as a sum of consecutive naturals, for example, 181950 + ... + 182050.

Almost surely, 2^18382000 is an apocalyptic number.

18382000 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 18382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232).

18382000 is an abundant number, since it is smaller than the sum of its proper divisors (36864464).

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

18382000 is a wasteful number, since it uses less digits than its factorization.

18382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18382000 is about 4287.4234687047. The cubic root of 18382000 is about 263.9151089162.

The spelling of 18382000 in words is "eighteen million, three hundred eighty-two thousand".