303968 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 122496.

The previous prime is 303959. The next prime is 303983. The reversal of 303968 is 869303.

It is a self number, because there is not a number n which added to its sum of digits gives 303968.

It is a congruent number.

It is an unprimeable number.

303968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5123 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2³⁰³⁹⁶⁸ 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 303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

303968 is an abundant number, since it is smaller than the sum of its proper divisors (421792).

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

303968 is a wasteful number, since it uses less digits than its factorization.

303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 303968 is about 551.3329302699. The cubic root of 303968 is about 67.2371487722.

The spelling of 303968 in words is "three hundred three thousand, nine hundred sixty-eight".