863568000 has 256 divisors, whose sum is σ = 3182400000. Its totient is φ = 230169600.

The previous prime is 863567987. The next prime is 863568001. The reversal of 863568000 is 865368.

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 (863568001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431001 + ... + 432999.

It is an arithmetic number, because the mean of its divisors is an integer number (12431250).

Almost surely, 2^863568000 is an apocalyptic number.

863568000 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 863568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200000).

863568000 is an abundant number, since it is smaller than the sum of its proper divisors (2318832000).

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

863568000 is a wasteful number, since it uses less digits than its factorization.

863568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 863568000 is about 29386.5275253814. The cubic root of 863568000 is about 952.2818646117.

The spelling of 863568000 in words is "eight hundred sixty-three million, five hundred sixty-eight thousand".