6448512 has 64 divisors (see below), whose sum is σ = 19584000. Its totient is φ = 1841664.

The previous prime is 6448511. The next prime is 6448517. The reversal of 6448512 is 2158446.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6448512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448511) 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, 1489 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^6448512 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 6448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792000).

6448512 is an abundant number, since it is smaller than the sum of its proper divisors (13135488).

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

6448512 is a wasteful number, since it uses less digits than its factorization.

6448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2411 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 6448512 is about 2539.3920532285. The cubic root of 6448512 is about 186.1314829379.

The spelling of 6448512 in words is "six million, four hundred forty-eight thousand, five hundred twelve".