18304416 has 72 divisors (see below), whose sum is σ = 56068740. Its totient is φ = 5630976.

The previous prime is 18304399. The next prime is 18304417. The reversal of 18304416 is 61440381.

It can be written as a sum of positive squares in 2 ways, for example, as 18147600 + 156816 = 4260^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18304416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18304417) 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 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 6188.

Almost surely, 2^18304416 is an apocalyptic number.

18304416 is a gapful number since it is divisible by the number (16) 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 18304416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28034370).

18304416 is an abundant number, since it is smaller than the sum of its proper divisors (37764324).

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

18304416 is a wasteful number, since it uses less digits than its factorization.

18304416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4907 counting only the distinct ones).

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

The square root of 18304416 is about 4278.3660432459. The cubic root of 18304416 is about 263.5432874909.

Adding to 18304416 its reverse (61440381), we get a palindrome (79744797).

The spelling of 18304416 in words is "eighteen million, three hundred four thousand, four hundred sixteen".