7648668 has 84 divisors (see below), whose sum is σ = 20871928. Its totient is φ = 2449440.

The previous prime is 7648649. The next prime is 7648687. The reversal of 7648668 is 8668467.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7648649) and next prime (7648687).

Its product of digits (387072) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125358 + ... + 125418.

Almost surely, 2^7648668 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 7648668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435964).

7648668 is an abundant number, since it is smaller than the sum of its proper divisors (13223260).

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

7648668 is a wasteful number, since it uses less digits than its factorization.

7648668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 7648668 is about 2765.6225338972. The cubic root of 7648668 is about 197.0282969307.

The spelling of 7648668 in words is "seven million, six hundred forty-eight thousand, six hundred sixty-eight".