6578 has 16 divisors (see below), whose sum is σ = 12096. Its totient is φ = 2640.

The previous prime is 6577. The next prime is 6581. The reversal of 6578 is 8756.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2⁶⁵⁷⁸ is an apocalyptic number.

6578 is a deficient number, since it is larger than the sum of its proper divisors (5518).

6578 is a wasteful number, since it uses less digits than its factorization.

6578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49.

The product of its digits is 1680, while the sum is 26.

The square root of 6578 is about 81.1048703840. The cubic root of 6578 is about 18.7369093812.

6578 divided by its sum of digits (26) gives a triangular number (253 = T₂₂).

The spelling of 6578 in words is "six thousand, five hundred seventy-eight".