302768 has 20 divisors (see below), whose sum is σ = 595200. Its totient is φ = 149184.

The previous prime is 302767. The next prime is 302779. The reversal of 302768 is 867203.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 302768.

It is not an unprimeable number, because it can be changed into a prime (302767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1958 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2³⁰²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

302768 is a deficient number, since it is larger than the sum of its proper divisors (292432).

302768 is a wasteful number, since it uses less digits than its factorization.

302768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 302768 is about 550.2435824251. The cubic root of 302768 is about 67.1485528377.

The spelling of 302768 in words is "three hundred two thousand, seven hundred sixty-eight".