324864144 has 240 divisors, whose sum is σ = 1067324544. Its totient is φ = 91238400.

The previous prime is 324864143. The next prime is 324864161. The reversal of 324864144 is 441468423.

324864144 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 641 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 324864099 and 324864108.

It is not an unprimeable number, because it can be changed into a prime (324864143) 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 47 ways as a sum of consecutive naturals, for example, 1347864 + ... + 1348104.

Almost surely, 2^324864144 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 324864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533662272).

324864144 is an abundant number, since it is smaller than the sum of its proper divisors (742460400).

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

324864144 is a wasteful number, since it uses less digits than its factorization.

324864144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 324864144 is about 18023.9880159747. The cubic root of 324864144 is about 687.4386194898.

It can be divided in two parts, 324 and 864144, that added together give a palindrome (864468).

The spelling of 324864144 in words is "three hundred twenty-four million, eight hundred sixty-four thousand, one hundred forty-four".