18864384 has 216 divisors, whose sum is σ = 65244480. Its totient is φ = 4730880.

The previous prime is 18864383. The next prime is 18864409. The reversal of 18864384 is 48346881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18864383) 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 23 ways as a sum of consecutive naturals, for example, 650482 + ... + 650510.

Almost surely, 2^18864384 is an apocalyptic number.

18864384 is a gapful number since it is divisible by the number (14) 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 18864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622240).

18864384 is an abundant number, since it is smaller than the sum of its proper divisors (46380096).

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

18864384 is a wasteful number, since it uses less digits than its factorization.

18864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 18864384 is about 4343.3148630971. The cubic root of 18864384 is about 266.2037747342.

The spelling of 18864384 in words is "eighteen million, eight hundred sixty-four thousand, three hundred eighty-four".