18328960 has 64 divisors (see below), whose sum is σ = 47209680. Its totient is φ = 6764544.

The previous prime is 18328951. The next prime is 18328969. The reversal of 18328960 is 6982381.

It is an interprime number because it is at equal distance from previous prime (18328951) and next prime (18328969).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×18328960³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328969) 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 7 ways as a sum of consecutive naturals, for example, 7219 + ... + 9421.

Almost surely, 2^18328960 is an apocalyptic number.

18328960 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 18328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23604840).

18328960 is an abundant number, since it is smaller than the sum of its proper divisors (28880720).

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

18328960 is a wasteful number, since it uses less digits than its factorization.

18328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 18328960 is about 4281.2334671214. The cubic root of 18328960 is about 263.6610280675.

The spelling of 18328960 in words is "eighteen million, three hundred twenty-eight thousand, nine hundred sixty".