678456 has 48 divisors (see below), whose sum is σ = 1911000. Its totient is φ = 225504.

The previous prime is 678451. The next prime is 678463. The reversal of 678456 is 654876.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 678456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770 + ... + 2118.

2⁶⁷⁸⁴⁵⁶ 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 678456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955500).

678456 is an abundant number, since it is smaller than the sum of its proper divisors (1232544).

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

678456 is a wasteful number, since it uses less digits than its factorization.

678456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 678456 is about 823.6844055826. The cubic root of 678456 is about 87.8699870743.

The spelling of 678456 in words is "six hundred seventy-eight thousand, four hundred fifty-six".