30320 has 20 divisors (see below), whose sum is σ = 70680. Its totient is φ = 12096.

The previous prime is 30319. The next prime is 30323. The reversal of 30320 is 2303.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 30298 and 30307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2³⁰³²⁰ is an apocalyptic number.

It is an amenable number.

30320 is an abundant number, since it is smaller than the sum of its proper divisors (40360).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

30320 is a wasteful number, since it uses less digits than its factorization.

30320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 30320 is about 174.1263908774. The cubic root of 30320 is about 31.1824139333.

Adding to 30320 its reverse (2303), we get a palindrome (32623).

It can be divided in two parts, 303 and 20, that added together give a palindrome (323).

The spelling of 30320 in words is "thirty thousand, three hundred twenty".