303696768 has 64 divisors (see below), whose sum is σ = 809308800. Its totient is φ = 100904448.

The previous prime is 303696763. The next prime is 303696769. The reversal of 303696768 is 867696303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303696763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136755 + ... + 138957.

It is an arithmetic number, because the mean of its divisors is an integer number (12645450).

Almost surely, 2^303696768 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 303696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404654400).

303696768 is an abundant number, since it is smaller than the sum of its proper divisors (505612032).

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

303696768 is a wasteful number, since it uses less digits than its factorization.

303696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 303696768 is about 17426.8978306525. The cubic root of 303696768 is about 672.1714415187.

The spelling of 303696768 in words is "three hundred three million, six hundred ninety-six thousand, seven hundred sixty-eight".