865676448 has 576 divisors, whose sum is σ = 3368252160. Its totient is φ = 204374016.

The previous prime is 865676447. The next prime is 865676453. The reversal of 865676448 is 844676568.

865676448 is a `hidden beast` number, since 86 + 56 + 76 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 865676394 and 865676403.

It is not an unprimeable number, because it can be changed into a prime (865676443) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12920511 + ... + 12920577.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^865676448 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 865676448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

865676448 is an abundant number, since it is smaller than the sum of its proper divisors (2502575712).

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

865676448 is a wasteful number, since it uses less digits than its factorization.

865676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 865676448 is about 29422.3800532860. The cubic root of 865676448 is about 953.0562506184.

The spelling of 865676448 in words is "eight hundred sixty-five million, six hundred seventy-six thousand, four hundred forty-eight".