326144000 has 312 divisors, whose sum is σ = 1019681208. Its totient is φ = 103219200.

The previous prime is 326143999. The next prime is 326144009. The reversal of 326144000 is 441623.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51380224 + 274763776 = 7168^2 + 16576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326144009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25087994 + ... + 25088006.

It is an arithmetic number, because the mean of its divisors is an integer number (3268209).

Almost surely, 2^326144000 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 326144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509840604).

326144000 is an abundant number, since it is smaller than the sum of its proper divisors (693537208).

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

326144000 is an equidigital number, since it uses as much as digits as its factorization.

326144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 326144000 is about 18059.4573561888. The cubic root of 326144000 is about 688.3401959161.

Adding to 326144000 its reverse (441623), we get a palindrome (326585623).

The spelling of 326144000 in words is "three hundred twenty-six million, one hundred forty-four thousand".