321360 has 80 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 78336.

The previous prime is 321359. The next prime is 321367. The reversal of 321360 is 63123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069 + ... + 3171.

2³²¹³⁶⁰ is an apocalyptic number.

321360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

321360 is an abundant number, since it is smaller than the sum of its proper divisors (761904).

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

321360 is a wasteful number, since it uses less digits than its factorization.

321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 321360 is about 566.8862319725. The cubic root of 321360 is about 68.4957995542.

Adding to 321360 its reverse (63123), we get a palindrome (384483).

The spelling of 321360 in words is "three hundred twenty-one thousand, three hundred sixty".