7627648 has 32 divisors (see below), whose sum is σ = 17368560. Its totient is φ = 3268608.

The previous prime is 7627637. The next prime is 7627649. The reversal of 7627648 is 8467267.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 7⁶ + 6 + 2⁵ + 7⁸ + 6⁸ + 4⁸ + 8 .

It is a self number, because there is not a number n which added to its sum of digits gives 7627648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7627649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3361 + ... + 5152.

Almost surely, 2^7627648 is an apocalyptic number.

It is an amenable number.

7627648 is an abundant number, since it is smaller than the sum of its proper divisors (9740912).

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

7627648 is an equidigital number, since it uses as much as digits as its factorization.

7627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 8522 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 7627648 is about 2761.8196899870. The cubic root of 7627648 is about 196.8476408778.

The spelling of 7627648 in words is "seven million, six hundred twenty-seven thousand, six hundred forty-eight".