18436320 has 288 divisors, whose sum is σ = 75479040. Its totient is φ = 4008960.

The previous prime is 18436307. The next prime is 18436321. The reversal of 18436320 is 2363481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18436321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312451 + ... + 312509.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^18436320 is an apocalyptic number.

18436320 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 18436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

18436320 is an abundant number, since it is smaller than the sum of its proper divisors (57042720).

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

18436320 is a wasteful number, since it uses less digits than its factorization.

18436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 18436320 is about 4293.7536026186. The cubic root of 18436320 is about 264.1748153448.

The spelling of 18436320 in words is "eighteen million, four hundred thirty-six thousand, three hundred twenty".