863144160 has 384 divisors, whose sum is σ = 3065610240. Its totient is φ = 203212800.

The previous prime is 863144147. The next prime is 863144201. The reversal of 863144160 is 61441368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12156925 + ... + 12156995.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2^863144160 is an apocalyptic number.

863144160 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 863144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532805120).

863144160 is an abundant number, since it is smaller than the sum of its proper divisors (2202466080).

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

863144160 is a wasteful number, since it uses less digits than its factorization.

863144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 863144160 is about 29379.3151724134. The cubic root of 863144160 is about 952.1260455003.

The spelling of 863144160 in words is "eight hundred sixty-three million, one hundred forty-four thousand, one hundred sixty".