678834 has 32 divisors (see below), whose sum is σ = 1626240. Its totient is φ = 208656.

The previous prime is 678833. The next prime is 678859. The reversal of 678834 is 438876.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2⁶⁷⁸⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813120).

678834 is an abundant number, since it is smaller than the sum of its proper divisors (947406).

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

678834 is a wasteful number, since it uses less digits than its factorization.

678834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 678834 is about 823.9138304459. The cubic root of 678834 is about 87.8863028897.

The spelling of 678834 in words is "six hundred seventy-eight thousand, eight hundred thirty-four".