8000560 has 40 divisors (see below), whose sum is σ = 18811296. Its totient is φ = 3164160.

The previous prime is 8000543. The next prime is 8000561. The reversal of 8000560 is 650008.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8000561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7245 + ... + 8275.

Almost surely, 2^8000560 is an apocalyptic number.

8000560 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 8000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405648).

8000560 is an abundant number, since it is smaller than the sum of its proper divisors (10810736).

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

8000560 is a wasteful number, since it uses less digits than its factorization.

8000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8000560 is about 2828.5261179632. The cubic root of 8000560 is about 200.0046665578.

Adding to 8000560 its reverse (650008), we get a palindrome (8650568).

The spelling of 8000560 in words is "eight million, five hundred sixty", and thus it is an aban number.