321888 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 91776.

The previous prime is 321851. The next prime is 321889. The reversal of 321888 is 888123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×321888² = 207223769088, which contains 22 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321888.

It is not an unprimeable number, because it can be changed into a prime (321889) by changing a digit.

321888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³²¹⁸⁸⁸ 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 321888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

321888 is an abundant number, since it is smaller than the sum of its proper divisors (645792).

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

321888 is a wasteful number, since it uses less digits than its factorization.

321888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 321888 is about 567.3517427487. The cubic root of 321888 is about 68.5332922863.

The spelling of 321888 in words is "three hundred twenty-one thousand, eight hundred eighty-eight".