18388960 has 96 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 6640128.

The previous prime is 18388957. The next prime is 18388961. The reversal of 18388960 is 6988381.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18388961) 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 15 ways as a sum of consecutive naturals, for example, 69789 + ... + 70051.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^18388960 is an apocalyptic number.

18388960 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 18388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

18388960 is an abundant number, since it is smaller than the sum of its proper divisors (29511200).

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

18388960 is a wasteful number, since it uses less digits than its factorization.

18388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 18388960 is about 4288.2350681836. The cubic root of 18388960 is about 263.9484135507.

The spelling of 18388960 in words is "eighteen million, three hundred eighty-eight thousand, nine hundred sixty".