321632256 has 96 divisors (see below), whose sum is σ = 935625600. Its totient is φ = 97443840.

The previous prime is 321632251. The next prime is 321632261. The reversal of 321632256 is 652236123.

It is an interprime number because it is at equal distance from previous prime (321632251) and next prime (321632261).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321632251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65205 + ... + 69963.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2^321632256 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 321632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

321632256 is an abundant number, since it is smaller than the sum of its proper divisors (613993344).

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

321632256 is a wasteful number, since it uses less digits than its factorization.

321632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4775 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 321632256 is about 17934.1087316878. The cubic root of 321632256 is about 685.1513729439.

Adding to 321632256 its reverse (652236123), we get a palindrome (973868379).

The spelling of 321632256 in words is "three hundred twenty-one million, six hundred thirty-two thousand, two hundred fifty-six".