609768 has 40 divisors (see below), whose sum is σ = 1709730. Its totient is φ = 203040.

The previous prime is 609757. The next prime is 609779. The reversal of 609768 is 867906.

609768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (609757) and next prime (609779).

It can be written as a sum of positive squares in only one way, i.e., 492804 + 116964 = 702^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

609768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 178 + ... + 1118.

2⁶⁰⁹⁷⁶⁸ 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 609768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854865).

609768 is an abundant number, since it is smaller than the sum of its proper divisors (1099962).

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

609768 is a wasteful number, since it uses less digits than its factorization.

609768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 609768 is about 780.8764306854. The cubic root of 609768 is about 84.7985077464.

The spelling of 609768 in words is "six hundred nine thousand, seven hundred sixty-eight".