10320 has 40 divisors (see below), whose sum is σ = 32736. Its totient is φ = 2688.

The previous prime is 10313. The next prime is 10321. The reversal of 10320 is 2301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10299 and 10308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 261.

2¹⁰³²⁰ is an apocalyptic number.

10320 is a gapful number since it is divisible by the number (10) 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 10320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368).

10320 is an abundant number, since it is smaller than the sum of its proper divisors (22416).

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

10320 is a wasteful number, since it uses less digits than its factorization.

10320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 10320 is about 101.5874007936. The cubic root of 10320 is about 21.7717446691.

Adding to 10320 its reverse (2301), we get a palindrome (12621).

The spelling of 10320 in words is "ten thousand, three hundred twenty", and thus it is an iban number.