7648256 has 88 divisors (see below), whose sum is σ = 19258176. Its totient is φ = 2949120.

The previous prime is 7648243. The next prime is 7648261. The reversal of 7648256 is 6528467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78800 + ... + 78896.

Almost surely, 2^7648256 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 7648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9629088).

7648256 is an abundant number, since it is smaller than the sum of its proper divisors (11609920).

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

7648256 is a wasteful number, since it uses less digits than its factorization.

7648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 7648256 is about 2765.5480469520. The cubic root of 7648256 is about 197.0247591855.

The spelling of 7648256 in words is "seven million, six hundred forty-eight thousand, two hundred fifty-six".