864310560 has 192 divisors, whose sum is σ = 2879815680. Its totient is φ = 217451520.

The previous prime is 864310553. The next prime is 864310567. The reversal of 864310560 is 65013468.

It is an interprime number because it is at equal distance from previous prime (864310553) and next prime (864310567).

It is not an unprimeable number, because it can be changed into a prime (864310567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 871665 + ... + 872655.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^864310560 is an apocalyptic number.

864310560 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 864310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

864310560 is an abundant number, since it is smaller than the sum of its proper divisors (2015505120).

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

864310560 is a wasteful number, since it uses less digits than its factorization.

864310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 864310560 is about 29399.1591716498. The cubic root of 864310560 is about 952.5547340086.

The spelling of 864310560 in words is "eight hundred sixty-four million, three hundred ten thousand, five hundred sixty".