18364320 has 240 divisors, whose sum is σ = 70436520. Its totient is φ = 4478976.

The previous prime is 18364277. The next prime is 18364343. The reversal of 18364320 is 2346381.

18364320 = 42³ + 43³ + ... + 93³.

It is a happy number.

18364320 is a `hidden beast` number, since 18 + 3 + 643 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 5143824 = 3636^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168426 + ... + 168534.

Almost surely, 2^18364320 is an apocalyptic number.

18364320 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 18364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35218260).

18364320 is an abundant number, since it is smaller than the sum of its proper divisors (52072200).

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

18364320 is a wasteful number, since it uses less digits than its factorization.

18364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

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

The square root of 18364320 is about 4285.3611283065. The cubic root of 18364320 is about 263.8304696700.

The spelling of 18364320 in words is "eighteen million, three hundred sixty-four thousand, three hundred twenty".