324000 has 120 divisors (see below), whose sum is σ = 1189188. Its totient is φ = 86400.

The previous prime is 323987. The next prime is 324011. The reversal of 324000 is 423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 104976 = 468^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

324000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64798 + ... + 64802.

2³²⁴⁰⁰⁰ is an apocalyptic number.

324000 is a gapful number since it is divisible by the number (30) 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 324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594594).

324000 is an abundant number, since it is smaller than the sum of its proper divisors (865188).

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

324000 is an equidigital number, since it uses as much as digits as its factorization.

324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 324000 is about 569.2099788303. The cubic root of 324000 is about 68.6828545532.

Adding to 324000 its reverse (423), we get a palindrome (324423).

The spelling of 324000 in words is "three hundred twenty-four thousand", and thus it is an iban number.