865248768 has 120 divisors (see below), whose sum is σ = 2513511000. Its totient is φ = 286531584.

The previous prime is 865248767. The next prime is 865248773. The reversal of 865248768 is 867842568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865248767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824308 + ... + 825356.

It is an arithmetic number, because the mean of its divisors is an integer number (20945925).

Almost surely, 2^865248768 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 865248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256755500).

865248768 is an abundant number, since it is smaller than the sum of its proper divisors (1648262232).

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

865248768 is a wasteful number, since it uses less digits than its factorization.

865248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1233 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 865248768 is about 29415.1112185557. Note that the first 3 decimals coincide. The cubic root of 865248768 is about 952.8992750182.

The spelling of 865248768 in words is "eight hundred sixty-five million, two hundred forty-eight thousand, seven hundred sixty-eight".