7506648 has 64 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2391840.

The previous prime is 7506647. The next prime is 7506661. The reversal of 7506648 is 8466057.

It is a happy number.

7506648 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7506647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4213 + ... + 5723.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^7506648 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 7506648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7506648 is an abundant number, since it is smaller than the sum of its proper divisors (14266152).

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

7506648 is a wasteful number, since it uses less digits than its factorization.

7506648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1539 counting only the distinct ones).

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

The square root of 7506648 is about 2739.8262718647. The cubic root of 7506648 is about 195.8012006230.

The spelling of 7506648 in words is "seven million, five hundred six thousand, six hundred forty-eight".