678368 has 48 divisors (see below), whose sum is σ = 1496880. Its totient is φ = 301056.

The previous prime is 678367. The next prime is 678371. The reversal of 678368 is 863876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15755 + ... + 15797.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁶⁷⁸³⁶⁸ is an apocalyptic number.

678368 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748440).

678368 is an abundant number, since it is smaller than the sum of its proper divisors (818512).

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

678368 is a wasteful number, since it uses less digits than its factorization.

678368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

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

The square root of 678368 is about 823.6309853326. The cubic root of 678368 is about 87.8661878138.

The spelling of 678368 in words is "six hundred seventy-eight thousand, three hundred sixty-eight".