6448968 has 48 divisors (see below), whose sum is σ = 17880720. Its totient is φ = 2098656.

The previous prime is 6448927. The next prime is 6448973. The reversal of 6448968 is 8698446.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2055 + ... + 4137.

It is an arithmetic number, because the mean of its divisors is an integer number (372515).

Almost surely, 2^6448968 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 6448968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940360).

6448968 is an abundant number, since it is smaller than the sum of its proper divisors (11431752).

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

6448968 is a wasteful number, since it uses less digits than its factorization.

6448968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2131 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6448968 is about 2539.4818369108. The cubic root of 6448968 is about 186.1358702009.

The spelling of 6448968 in words is "six million, four hundred forty-eight thousand, nine hundred sixty-eight".