678568 has 24 divisors (see below), whose sum is σ = 1400490. Its totient is φ = 308000.

The previous prime is 678563. The next prime is 678577. The reversal of 678568 is 865876.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 213444 = 682^2 + 462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 678568.

It is not an unprimeable number, because it can be changed into a prime (678563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 618 + ... + 1318.

2⁶⁷⁸⁵⁶⁸ 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 678568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700245).

678568 is an abundant number, since it is smaller than the sum of its proper divisors (721922).

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

678568 is a wasteful number, since it uses less digits than its factorization.

678568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 678568 is about 823.7523899814. The cubic root of 678568 is about 87.8748220216.

It can be divided in two parts, 67 and 8568, that multiplied together give a triangular number (574056 = T₁₀₇₁).

The spelling of 678568 in words is "six hundred seventy-eight thousand, five hundred sixty-eight".