8087506560 has 1536 divisors, whose sum is σ = 38494310400. Its totient is φ = 1576599552.

The previous prime is 8087506523. The next prime is 8087506591. The reversal of 8087506560 is 656057808.

8087506560 is a `hidden beast` number, since 8 + 0 + 87 + 5 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 351630709 + ... + 351630731.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^8087506560 is an apocalyptic number.

8087506560 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 8087506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

8087506560 is an abundant number, since it is smaller than the sum of its proper divisors (30406803840).

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

8087506560 is a wasteful number, since it uses less digits than its factorization.

8087506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8087506560 is about 89930.5652156151. The cubic root of 8087506560 is about 2007.2657855491.

The spelling of 8087506560 in words is "eight billion, eighty-seven million, five hundred six thousand, five hundred sixty".