7647696 has 120 divisors (see below), whose sum is σ = 25456704. Its totient is φ = 2177280.

The previous prime is 7647691. The next prime is 7647701. The reversal of 7647696 is 6967467.

It is an interprime number because it is at equal distance from previous prime (7647691) and next prime (7647701).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7647691) 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 23 ways as a sum of consecutive naturals, for example, 27076 + ... + 27356.

Almost surely, 2^7647696 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 7647696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728352).

7647696 is an abundant number, since it is smaller than the sum of its proper divisors (17809008).

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

7647696 is a wasteful number, since it uses less digits than its factorization.

7647696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 7647696 is about 2765.4467993436. The cubic root of 7647696 is about 197.0199503961.

The spelling of 7647696 in words is "seven million, six hundred forty-seven thousand, six hundred ninety-six".