678944 has 36 divisors (see below), whose sum is σ = 1558494. Its totient is φ = 290304.

The previous prime is 678943. The next prime is 678949. The reversal of 678944 is 449876.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 19600 = 812^2 + 140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 678898 and 678907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1352 + ... + 1784.

2⁶⁷⁸⁹⁴⁴ 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 678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779247).

678944 is an abundant number, since it is smaller than the sum of its proper divisors (879550).

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

678944 is a wasteful number, since it uses less digits than its factorization.

678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 678944 is about 823.9805822955. The cubic root of 678944 is about 87.8910497405.

The spelling of 678944 in words is "six hundred seventy-eight thousand, nine hundred forty-four".