321714560 has 64 divisors (see below), whose sum is σ = 774424800. Its totient is φ = 127795200.

The previous prime is 321714539. The next prime is 321714563. The reversal of 321714560 is 65417123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321714563) 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 7 ways as a sum of consecutive naturals, for example, 94976 + ... + 98304.

Almost surely, 2^321714560 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 321714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387212400).

321714560 is an abundant number, since it is smaller than the sum of its proper divisors (452710240).

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

321714560 is a wasteful number, since it uses less digits than its factorization.

321714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 321714560 is about 17936.4032068863. The cubic root of 321714560 is about 685.2098101686.

The spelling of 321714560 in words is "three hundred twenty-one million, seven hundred fourteen thousand, five hundred sixty".