6507648 has 128 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 1852416.

The previous prime is 6507623. The next prime is 6507649. The reversal of 6507648 is 8467056.

It is a happy number.

6507648 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6507649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24058 + ... + 24326.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^6507648 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 6507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

6507648 is an abundant number, since it is smaller than the sum of its proper divisors (15524352).

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

6507648 is a wasteful number, since it uses less digits than its factorization.

6507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6507648 is about 2551.0092120571. The cubic root of 6507648 is about 186.6987246528.

The spelling of 6507648 in words is "six million, five hundred seven thousand, six hundred forty-eight".