18001824 has 96 divisors (see below), whose sum is σ = 51093504. Its totient is φ = 5533440.

The previous prime is 18001817. The next prime is 18001843. The reversal of 18001824 is 42810081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 18001794 and 18001803.

It is an unprimeable number.

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, 68317 + ... + 68579.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 2^18001824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18001824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546752).

18001824 is an abundant number, since it is smaller than the sum of its proper divisors (33091680).

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

18001824 is a wasteful number, since it uses less digits than its factorization.

18001824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18001824 is about 4242.8556421354. The cubic root of 18001824 is about 262.0829914039.

The spelling of 18001824 in words is "eighteen million, one thousand, eight hundred twenty-four".