321088 has 28 divisors (see below), whose sum is σ = 662940. Its totient is φ = 154112.

The previous prime is 321077. The next prime is 321091. The reversal of 321088 is 880123.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 82944 = 488^2 + 288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1770 + ... + 1942.

2³²¹⁰⁸⁸ 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 321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331470).

321088 is an abundant number, since it is smaller than the sum of its proper divisors (341852).

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

321088 is a wasteful number, since it uses less digits than its factorization.

321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 321088 is about 566.6462741429. The cubic root of 321088 is about 68.4764690875.

The spelling of 321088 in words is "three hundred twenty-one thousand, eighty-eight".