608768 has 40 divisors (see below), whose sum is σ = 1288980. Its totient is φ = 286720.

The previous prime is 608767. The next prime is 608789. The reversal of 608768 is 867806.

It can be written as a sum of positive squares in 2 ways, for example, as 565504 + 43264 = 752^2 + 208^2 .

It is not an unprimeable number, because it can be changed into a prime (608767) 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 3 ways as a sum of consecutive naturals, for example, 14828 + ... + 14868.

2⁶⁰⁸⁷⁶⁸ 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 608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644490).

608768 is an abundant number, since it is smaller than the sum of its proper divisors (680212).

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

608768 is an equidigital number, since it uses as much as digits as its factorization.

608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 608768 is about 780.2358617751. The cubic root of 608768 is about 84.7521267700.

The spelling of 608768 in words is "six hundred eight thousand, seven hundred sixty-eight".