8107638 has 96 divisors (see below), whose sum is σ = 21669120. Its totient is φ = 1995840.

The previous prime is 8107621. The next prime is 8107651. The reversal of 8107638 is 8367018.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8107599 and 8107608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74328 + ... + 74436.

It is an arithmetic number, because the mean of its divisors is an integer number (225720).

Almost surely, 2^8107638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8107638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834560).

8107638 is an abundant number, since it is smaller than the sum of its proper divisors (13561482).

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

8107638 is a wasteful number, since it uses less digits than its factorization.

8107638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8107638 is about 2847.3914377900. The cubic root of 8107638 is about 200.8929902413.

It can be divided in two parts, 810 and 7638, that added together give a palindrome (8448).

The spelling of 8107638 in words is "eight million, one hundred seven thousand, six hundred thirty-eight".