324132000 has 96 divisors (see below), whose sum is σ = 1061895744. Its totient is φ = 86432000.

The previous prime is 324131981. The next prime is 324132007. The reversal of 324132000 is 231423.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (324132007) by changing a digit.

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, 1506 + ... + 25505.

It is an arithmetic number, because the mean of its divisors is an integer number (11061414).

Almost surely, 2^324132000 is an apocalyptic number.

324132000 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 324132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530947872).

324132000 is an abundant number, since it is smaller than the sum of its proper divisors (737763744).

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

324132000 is a wasteful number, since it uses less digits than its factorization.

324132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27039 (or 27021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 324132000 is about 18003.6662932859. Note that the first 3 decimals coincide. The cubic root of 324132000 is about 686.9218058805.

Adding to 324132000 its reverse (231423), we get a palindrome (324363423).

The spelling of 324132000 in words is "three hundred twenty-four million, one hundred thirty-two thousand".