8731282560 has 1152 divisors, whose sum is σ = 38972404800. Its totient is φ = 1646346240.

The previous prime is 8731282541. The next prime is 8731282577. The reversal of 8731282560 is 652821378.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 147987811 + ... + 147987869.

Almost surely, 2^8731282560 is an apocalyptic number.

8731282560 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 8731282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486202400).

8731282560 is an abundant number, since it is smaller than the sum of its proper divisors (30241122240).

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

8731282560 is a wasteful number, since it uses less digits than its factorization.

8731282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8731282560 is about 93441.3321822843. The cubic root of 8731282560 is about 2059.1722693322.

The spelling of 8731282560 in words is "eight billion, seven hundred thirty-one million, two hundred eighty-two thousand, five hundred sixty".