321768 has 48 divisors (see below), whose sum is σ = 900900. Its totient is φ = 103680.

The previous prime is 321757. The next prime is 321779. The reversal of 321768 is 867123.

It is an interprime number because it is at equal distance from previous prime (321757) and next prime (321779).

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 10404 = 558^2 + 102^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 3006.

2³²¹⁷⁶⁸ 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 321768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450450).

321768 is an abundant number, since it is smaller than the sum of its proper divisors (579132).

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

321768 is a wasteful number, since it uses less digits than its factorization.

321768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 321768 is about 567.2459783903. The cubic root of 321768 is about 68.5247748131.

It can be divided in two parts, 321 and 768, that added together give a square (1089 = 33²).

The spelling of 321768 in words is "three hundred twenty-one thousand, seven hundred sixty-eight".