678564 has 48 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 220320.

The previous prime is 678563. The next prime is 678577. The reversal of 678564 is 465876.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6537 + ... + 6639.

2⁶⁷⁸⁵⁶⁴ 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 678564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

678564 is an abundant number, since it is smaller than the sum of its proper divisors (1126876).

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

678564 is a wasteful number, since it uses less digits than its factorization.

678564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

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

The square root of 678564 is about 823.7499620637. The cubic root of 678564 is about 87.8746493541.

The spelling of 678564 in words is "six hundred seventy-eight thousand, five hundred sixty-four".