303680 has 56 divisors (see below), whose sum is σ = 789432. Its totient is φ = 110592.

The previous prime is 303679. The next prime is 303683. The reversal of 303680 is 86303.

303680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 295936 = 88^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303680.

It is not an unprimeable number, because it can be changed into a prime (303683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4124 + ... + 4196.

It is an arithmetic number, because the mean of its divisors is an integer number (14097).

2³⁰³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394716).

303680 is an abundant number, since it is smaller than the sum of its proper divisors (485752).

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

303680 is a wasteful number, since it uses less digits than its factorization.

303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 303680 is about 551.0716831774. The cubic root of 303680 is about 67.2159070431.

Adding to 303680 its reverse (86303), we get a palindrome (389983).

The spelling of 303680 in words is "three hundred three thousand, six hundred eighty".