321936 has 40 divisors (see below), whose sum is σ = 877920. Its totient is φ = 101376.

The previous prime is 321911. The next prime is 321947. The reversal of 321936 is 639123.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321936.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (21948).

2³²¹⁹³⁶ 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 321936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438960).

321936 is an abundant number, since it is smaller than the sum of its proper divisors (555984).

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

321936 is a wasteful number, since it uses less digits than its factorization.

321936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 321936 is about 567.3940429719. The cubic root of 321936 is about 68.5366986829.

The spelling of 321936 in words is "three hundred twenty-one thousand, nine hundred thirty-six".