864223560 has 256 divisors, whose sum is σ = 3086553600. Its totient is φ = 214327296.

The previous prime is 864223559. The next prime is 864223561. The reversal of 864223560 is 65322468.

864223560 is a `hidden beast` number, since 8 + 642 + 2 + 3 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (864223559) and next prime (864223561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (864223561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1890852 + ... + 1891308.

It is an arithmetic number, because the mean of its divisors is an integer number (12056850).

Almost surely, 2^864223560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864223560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543276800).

864223560 is an abundant number, since it is smaller than the sum of its proper divisors (2222330040).

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

864223560 is a wasteful number, since it uses less digits than its factorization.

864223560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 864223560 is about 29397.6795002599. The cubic root of 864223560 is about 952.5227721011.

The spelling of 864223560 in words is "eight hundred sixty-four million, two hundred twenty-three thousand, five hundred sixty".