8260564080 has 80 divisors (see below), whose sum is σ = 26721146880. Its totient is φ = 2107041024.

The previous prime is 8260564049. The next prime is 8260564111. The reversal of 8260564080 is 804650628.

It is an interprime number because it is at equal distance from previous prime (8260564049) and next prime (8260564111).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742720 + ... + 753759.

It is an arithmetic number, because the mean of its divisors is an integer number (334014336).

Almost surely, 2^8260564080 is an apocalyptic number.

8260564080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8260564080 is an abundant number, since it is smaller than the sum of its proper divisors (18460582800).

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

8260564080 is a wasteful number, since it uses less digits than its factorization.

8260564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496518 (or 1496512 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 8260564080 is about 90887.6453650330. The cubic root of 8260564080 is about 2021.4821067464.

The spelling of 8260564080 in words is "eight billion, two hundred sixty million, five hundred sixty-four thousand, eighty".