327042144 has 192 divisors, whose sum is σ = 1121057280. Its totient is φ = 91445760.

The previous prime is 327042139. The next prime is 327042173. The reversal of 327042144 is 441240723.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 122229 + ... + 124875.

It is an arithmetic number, because the mean of its divisors is an integer number (5838840).

Almost surely, 2^327042144 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 327042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560528640).

327042144 is an abundant number, since it is smaller than the sum of its proper divisors (794015136).

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

327042144 is a wasteful number, since it uses less digits than its factorization.

327042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 327042144 is about 18084.3065667445. The cubic root of 327042144 is about 688.9714732920.

Adding to 327042144 its reverse (441240723), we get a palindrome (768282867).

The spelling of 327042144 in words is "three hundred twenty-seven million, forty-two thousand, one hundred forty-four".