8138560 has 56 divisors (see below), whose sum is σ = 20071080. Its totient is φ = 3139584.

The previous prime is 8138549. The next prime is 8138561. The reversal of 8138560 is 658318.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 6110784 = 1424^2 + 2472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138561) 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 7 ways as a sum of consecutive naturals, for example, 8842 + ... + 9718.

Almost surely, 2^8138560 is an apocalyptic number.

8138560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035540).

8138560 is an abundant number, since it is smaller than the sum of its proper divisors (11932520).

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

8138560 is a wasteful number, since it uses less digits than its factorization.

8138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 8138560 is about 2852.8161525062. The cubic root of 8138560 is about 201.1480638041.

The spelling of 8138560 in words is "eight million, one hundred thirty-eight thousand, five hundred sixty".