321648 has 20 divisors (see below), whose sum is σ = 831048. Its totient is φ = 107200.

The previous prime is 321647. The next prime is 321661. The reversal of 321648 is 846123.

It is a happy number.

321648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3303 + ... + 3398.

2³²¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

321648 is an abundant number, since it is smaller than the sum of its proper divisors (509400).

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

321648 is a wasteful number, since it uses less digits than its factorization.

321648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6706 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 321648 is about 567.1401943083. The cubic root of 321648 is about 68.5162552220.

It can be divided in two parts, 321 and 648, that added together give a palindrome (969).

The spelling of 321648 in words is "three hundred twenty-one thousand, six hundred forty-eight".