863285520 has 240 divisors, whose sum is σ = 2925616320. Its totient is φ = 209986560.

The previous prime is 863285491. The next prime is 863285537. The reversal of 863285520 is 25582368.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 4382062 + ... + 4382258.

It is an arithmetic number, because the mean of its divisors is an integer number (12190068).

Almost surely, 2^863285520 is an apocalyptic number.

863285520 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 863285520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462808160).

863285520 is an abundant number, since it is smaller than the sum of its proper divisors (2062330800).

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

863285520 is a wasteful number, since it uses less digits than its factorization.

863285520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 863285520 is about 29381.7208481736. The cubic root of 863285520 is about 952.1780202832.

The spelling of 863285520 in words is "eight hundred sixty-three million, two hundred eighty-five thousand, five hundred twenty".