321864 has 16 divisors (see below), whose sum is σ = 804720. Its totient is φ = 107280.

The previous prime is 321851. The next prime is 321889. The reversal of 321864 is 468123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13411 = 321864 / (3 + 2 + 1 + 8 + 6 + 4).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6682 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (50295).

2³²¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

321864 is an abundant number, since it is smaller than the sum of its proper divisors (482856).

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

321864 is a wasteful number, since it uses less digits than its factorization.

321864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13416 counting only the distinct ones).

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

The square root of 321864 is about 567.3305914544. The cubic root of 321864 is about 68.5315889611.

Adding to 321864 its reverse (468123), we get a palindrome (789987).

The spelling of 321864 in words is "three hundred twenty-one thousand, eight hundred sixty-four".