324533664 has 432 divisors, whose sum is σ = 1215625320. Its totient is φ = 81285120.

The previous prime is 324533647. The next prime is 324533669. The reversal of 324533664 is 466335423.

It can be written as a sum of positive squares in 4 ways, for example, as 132434064 + 192099600 = 11508^2 + 13860^2 .

It is a super-3 number, since 3×324533664³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (324533669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5320194 + ... + 5320254.

Almost surely, 2^324533664 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 324533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

324533664 is an abundant number, since it is smaller than the sum of its proper divisors (891091656).

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

324533664 is a wasteful number, since it uses less digits than its factorization.

324533664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 324533664 is about 18014.8179008282. The cubic root of 324533664 is about 687.2054329921.

The spelling of 324533664 in words is "three hundred twenty-four million, five hundred thirty-three thousand, six hundred sixty-four".