7646688 has 72 divisors (see below), whose sum is σ = 24858288. Its totient is φ = 2184192.

The previous prime is 7646687. The next prime is 7646699. The reversal of 7646688 is 8866467.

It is a happy number.

7646688 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

7646688 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 3912.

It is an arithmetic number, because the mean of its divisors is an integer number (345254).

Almost surely, 2^7646688 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 7646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429144).

7646688 is an abundant number, since it is smaller than the sum of its proper divisors (17211600).

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

7646688 is a wasteful number, since it uses less digits than its factorization.

7646688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3805 counting only the distinct ones).

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

The square root of 7646688 is about 2765.2645443067. The cubic root of 7646688 is about 197.0112939835.

It can be divided in two parts, 76 and 46688, that added together give a palindrome (46764).

The spelling of 7646688 in words is "seven million, six hundred forty-six thousand, six hundred eighty-eight".