863520768 has 144 divisors (see below), whose sum is σ = 2721373200. Its totient is φ = 261611520.

The previous prime is 863520751. The next prime is 863520769. The reversal of 863520768 is 867025368.

863520768 is a `hidden beast` number, since 8 + 63 + 520 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (863520769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200623 + ... + 204881.

It is an arithmetic number, because the mean of its divisors is an integer number (18898425).

Almost surely, 2^863520768 is an apocalyptic number.

863520768 is a gapful number since it is divisible by the number (88) 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 863520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360686600).

863520768 is an abundant number, since it is smaller than the sum of its proper divisors (1857852432).

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

863520768 is a wasteful number, since it uses less digits than its factorization.

863520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 863520768 is about 29385.7238808235. The cubic root of 863520768 is about 952.2645029227.

It can be divided in two parts, 8635 and 20768, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 863520768 in words is "eight hundred sixty-three million, five hundred twenty thousand, seven hundred sixty-eight".