7687638 has 96 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1990656.

The previous prime is 7687637. The next prime is 7687651. The reversal of 7687638 is 8367867.

7687638 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7687593 and 7687602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7687637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79206 + ... + 79302.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^7687638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7687638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7687638 is an abundant number, since it is smaller than the sum of its proper divisors (13226346).

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

7687638 is a wasteful number, since it uses less digits than its factorization.

7687638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7687638 is about 2772.6590125726. The cubic root of 7687638 is about 197.3623502750.

The spelling of 7687638 in words is "seven million, six hundred eighty-seven thousand, six hundred thirty-eight".