6007648 has 48 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 2764800.

The previous prime is 6007643. The next prime is 6007649. The reversal of 6007648 is 8467006.

6007648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007643) 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, 24808 + ... + 25048.

It is an arithmetic number, because the mean of its divisors is an integer number (266805).

Almost surely, 2^6007648 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 6007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

6007648 is an abundant number, since it is smaller than the sum of its proper divisors (6798992).

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

6007648 is a wasteful number, since it uses less digits than its factorization.

6007648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6007648 is about 2451.0503870790. The cubic root of 6007648 is about 181.7892339368.

The spelling of 6007648 in words is "six million, seven thousand, six hundred forty-eight".