8286800460 has 96 divisors (see below), whose sum is σ = 24652071360. Its totient is φ = 2075931648.

The previous prime is 8286800447. The next prime is 8286800471. The reversal of 8286800460 is 640086828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22 + ... + 128738.

It is an arithmetic number, because the mean of its divisors is an integer number (256792410).

Almost surely, 2^8286800460 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 8286800460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326035680).

8286800460 is an abundant number, since it is smaller than the sum of its proper divisors (16365270900).

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

8286800460 is a wasteful number, since it uses less digits than its factorization.

8286800460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128795 (or 128793 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8286800460 is about 91031.8650803113. The cubic root of 8286800460 is about 2023.6199882702.

The spelling of 8286800460 in words is "eight billion, two hundred eighty-six million, eight hundred thousand, four hundred sixty".