8007060560 has 80 divisors (see below), whose sum is σ = 20074340160. Its totient is φ = 2960225280.

The previous prime is 8007060521. The next prime is 8007060599. The reversal of 8007060560 is 650607008.

It is an interprime number because it is at equal distance from previous prime (8007060521) and next prime (8007060599).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8007060560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922 + ... + 126561.

It is an arithmetic number, because the mean of its divisors is an integer number (250929252).

Almost surely, 2^8007060560 is an apocalyptic number.

8007060560 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 8007060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037170080).

8007060560 is an abundant number, since it is smaller than the sum of its proper divisors (12067279600).

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

8007060560 is a wasteful number, since it uses less digits than its factorization.

8007060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128556 (or 128550 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 8007060560 is about 89482.1801254306. The cubic root of 8007060560 is about 2000.5882069893.

Adding to 8007060560 its reverse (650607008), we get a palindrome (8657667568).

The spelling of 8007060560 in words is "eight billion, seven million, sixty thousand, five hundred sixty".