18382320 has 180 divisors, whose sum is σ = 68177928. Its totient is φ = 4435200.

The previous prime is 18382319. The next prime is 18382337. The reversal of 18382320 is 2328381.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 87015 + ... + 87225.

Almost surely, 2^18382320 is an apocalyptic number.

18382320 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 18382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34088964).

18382320 is an abundant number, since it is smaller than the sum of its proper divisors (49795608).

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

18382320 is a wasteful number, since it uses less digits than its factorization.

18382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18382320 is about 4287.4607869927. The cubic root of 18382320 is about 263.9166403481.

The spelling of 18382320 in words is "eighteen million, three hundred eighty-two thousand, three hundred twenty".