321340544 has 128 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 127226880.

The previous prime is 321340529. The next prime is 321340571. The reversal of 321340544 is 445043123.

321340544 = 1332² + 1333² + ... + 1492².

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638597 + ... + 639099.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2^321340544 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 321340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

321340544 is an abundant number, since it is smaller than the sum of its proper divisors (468286336).

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

321340544 is a wasteful number, since it uses less digits than its factorization.

321340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 321340544 is about 17925.9740042208. The cubic root of 321340544 is about 684.9441721955.

Adding to 321340544 its reverse (445043123), we get a palindrome (766383667).

The spelling of 321340544 in words is "three hundred twenty-one million, three hundred forty thousand, five hundred forty-four".