324639072 has 144 divisors (see below), whose sum is σ = 994436352. Its totient is φ = 100085760.

The previous prime is 324639061. The next prime is 324639097. The reversal of 324639072 is 270936423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 298113 + ... + 299199.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808).

Almost surely, 2^324639072 is an apocalyptic number.

324639072 is a gapful number since it is divisible by the number (32) 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 324639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497218176).

324639072 is an abundant number, since it is smaller than the sum of its proper divisors (669797280).

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

324639072 is a wasteful number, since it uses less digits than its factorization.

324639072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 324639072 is about 18017.7432549140. The cubic root of 324639072 is about 687.2798260030.

The spelling of 324639072 in words is "three hundred twenty-four million, six hundred thirty-nine thousand, seventy-two".