578680 has 64 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 202752.

The previous prime is 578659. The next prime is 578687. The reversal of 578680 is 86875.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578687) by changing a digit.

578680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15622 + ... + 15658.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁵⁷⁸⁶⁸⁰ 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 578680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

578680 is an abundant number, since it is smaller than the sum of its proper divisors (898760).

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

578680 is a wasteful number, since it uses less digits than its factorization.

578680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 578680 is about 760.7101944893. The cubic root of 578680 is about 83.3321955400.

578680 divided by its sum of digits (34) gives a triangular number (17020 = T₁₈₄).

The spelling of 578680 in words is "five hundred seventy-eight thousand, six hundred eighty".