863580840 has 128 divisors (see below), whose sum is σ = 2644012800. Its totient is φ = 225607680.

The previous prime is 863580833. The next prime is 863580847. The reversal of 863580840 is 48085368.

863580840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (863580833) and next prime (863580847).

It is a junction number, because it is equal to n+sod(n) for n = 863580792 and 863580801.

It is not an unprimeable number, because it can be changed into a prime (863580847) 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, 1346920 + ... + 1347560.

It is an arithmetic number, because the mean of its divisors is an integer number (20656350).

Almost surely, 2^863580840 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 863580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322006400).

863580840 is an abundant number, since it is smaller than the sum of its proper divisors (1780431960).

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

863580840 is a wasteful number, since it uses less digits than its factorization.

863580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 863580840 is about 29386.7459920284. The cubic root of 863580840 is about 952.2865842703.

The spelling of 863580840 in words is "eight hundred sixty-three million, five hundred eighty thousand, eight hundred forty".