678560 has 24 divisors (see below), whose sum is σ = 1603476. Its totient is φ = 271360.

The previous prime is 678553. The next prime is 678563. The reversal of 678560 is 65876.

It can be written as a sum of positive squares in 2 ways, for example, as 633616 + 44944 = 796^2 + 212^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

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 3 ways as a sum of consecutive naturals, for example, 1961 + ... + 2280.

2⁶⁷⁸⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

678560 is an abundant number, since it is smaller than the sum of its proper divisors (924916).

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

678560 is a wasteful number, since it uses less digits than its factorization.

678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 678560 is about 823.7475341389. The cubic root of 678560 is about 87.8744766859.

The spelling of 678560 in words is "six hundred seventy-eight thousand, five hundred sixty".