324006144 has 144 divisors (see below), whose sum is σ = 1075307520. Its totient is φ = 84142080.

The previous prime is 324006121. The next prime is 324006211. The reversal of 324006144 is 441600423.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56397 + ... + 61875.

Almost surely, 2^324006144 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 324006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537653760).

324006144 is an abundant number, since it is smaller than the sum of its proper divisors (751301376).

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

324006144 is a wasteful number, since it uses less digits than its factorization.

324006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 324006144 is about 18000.1706658576. The cubic root of 324006144 is about 686.8328869393.

Adding to 324006144 its reverse (441600423), we get a palindrome (765606567).

The spelling of 324006144 in words is "three hundred twenty-four million, six thousand, one hundred forty-four".