6575968 has 48 divisors (see below), whose sum is σ = 15289344. Its totient is φ = 2724480.

The previous prime is 6575929. The next prime is 6575969. The reversal of 6575968 is 8695756.

It is a d-powerful number, because it can be written as 6² + 5⁴ + 7⁸ + 5⁶ + 9⁶ + 6⁴ + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6575969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6471 + ... + 7417.

It is an arithmetic number, because the mean of its divisors is an integer number (318528).

Almost surely, 2^6575968 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 6575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644672).

6575968 is an abundant number, since it is smaller than the sum of its proper divisors (8713376).

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

6575968 is a wasteful number, since it uses less digits than its factorization.

6575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 6575968 is about 2564.3650286182. The cubic root of 6575968 is about 187.3497985244.

The spelling of 6575968 in words is "six million, five hundred seventy-five thousand, nine hundred sixty-eight".