30360 has 64 divisors (see below), whose sum is σ = 103680. Its totient is φ = 7040.

The previous prime is 30347. The next prime is 30367. The reversal of 30360 is 6303.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30367) 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, 1309 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2³⁰³⁶⁰ is an apocalyptic number.

30360 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 30360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

30360 is an abundant number, since it is smaller than the sum of its proper divisors (73320).

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

30360 is a wasteful number, since it uses less digits than its factorization.

30360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30360 is about 174.2412121170. The cubic root of 30360 is about 31.1961204907.

Adding to 30360 its reverse (6303), we get a palindrome (36663).

It can be divided in two parts, 303 and 60, that added together give a palindrome (363).

The spelling of 30360 in words is "thirty thousand, three hundred sixty".