321887664 has 210 divisors, whose sum is σ = 1106291420. Its totient is φ = 87127488.

The previous prime is 321887653. The next prime is 321887677. The reversal of 321887664 is 466788123.

321887664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321887664² = 207223336470753792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16941447 + ... + 16941465.

Almost surely, 2^321887664 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 321887664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553145710).

321887664 is an abundant number, since it is smaller than the sum of its proper divisors (784403756).

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

321887664 is an frugal number, since it uses more digits than its factorization.

321887664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 321887664 is about 17941.2280516134. The cubic root of 321887664 is about 685.3326844037.

The spelling of 321887664 in words is "three hundred twenty-one million, eight hundred eighty-seven thousand, six hundred sixty-four".