865994760 has 128 divisors (see below), whose sum is σ = 2893593600. Its totient is φ = 230376960.

The previous prime is 865994747. The next prime is 865994803. The reversal of 865994760 is 67499568.

865994760 is a `hidden beast` number, since 8 + 6 + 599 + 47 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 865994697 and 865994706.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 654900 + ... + 656220.

It is an arithmetic number, because the mean of its divisors is an integer number (22606200).

Almost surely, 2^865994760 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 865994760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446796800).

865994760 is an abundant number, since it is smaller than the sum of its proper divisors (2027598840).

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

865994760 is a wasteful number, since it uses less digits than its factorization.

865994760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 865994760 is about 29427.7889077654. The cubic root of 865994760 is about 953.1730502480.

The spelling of 865994760 in words is "eight hundred sixty-five million, nine hundred ninety-four thousand, seven hundred sixty".