8038140 has 96 divisors (see below), whose sum is σ = 25885440. Its totient is φ = 1843200.

The previous prime is 8038117. The next prime is 8038141. The reversal of 8038140 is 418308.

It is a super-3 number, since 3×8038140³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8038140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12220 + ... + 12860.

It is an arithmetic number, because the mean of its divisors is an integer number (269640).

Almost surely, 2^8038140 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 8038140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942720).

8038140 is an abundant number, since it is smaller than the sum of its proper divisors (17847300).

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

8038140 is a wasteful number, since it uses less digits than its factorization.

8038140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8038140 is about 2835.1613710687. The cubic root of 8038140 is about 200.3173295767.

The spelling of 8038140 in words is "eight million, thirty-eight thousand, one hundred forty".