6578960 has 20 divisors (see below), whose sum is σ = 15296268. Its totient is φ = 2631552.

The previous prime is 6578939. The next prime is 6578963. The reversal of 6578960 is 698756.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4857616 + 1721344 = 2204^2 + 1312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (6578963) 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, 41039 + ... + 41198.

Almost surely, 2^6578960 is an apocalyptic number.

It is an amenable number.

6578960 is an abundant number, since it is smaller than the sum of its proper divisors (8717308).

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

6578960 is a wasteful number, since it uses less digits than its factorization.

6578960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82250 (or 82244 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 6578960 is about 2564.9483425597. The cubic root of 6578960 is about 187.3782083141.

The spelling of 6578960 in words is "six million, five hundred seventy-eight thousand, nine hundred sixty".