300960 has 144 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 69120.

The previous prime is 300953. The next prime is 300961. The reversal of 300960 is 69003.

300960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (300961) by changing a digit.

300960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15831 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2³⁰⁰⁹⁶⁰ is an apocalyptic number.

300960 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 300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

300960 is an abundant number, since it is smaller than the sum of its proper divisors (878400).

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

300960 is a wasteful number, since it uses less digits than its factorization.

300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 300960 is about 548.5982136318. The cubic root of 300960 is about 67.0146251581.

Adding to 300960 its reverse (69003), we get a palindrome (369963).

The spelling of 300960 in words is "three hundred thousand, nine hundred sixty".