865949568 has 96 divisors (see below), whose sum is σ = 2528431080. Its totient is φ = 262394880.

The previous prime is 865949527. The next prime is 865949603.

865949568 is nontrivially palindromic in base 10.

865949568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×865949568³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37146 + ... + 55782.

Almost surely, 2^865949568 is an apocalyptic number.

865949568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 865949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264215540).

865949568 is an abundant number, since it is smaller than the sum of its proper divisors (1662481512).

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

865949568 is a wasteful number, since it uses less digits than its factorization.

865949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18676 (or 18653 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The square root of 865949568 is about 29427.0210520875. The cubic root of 865949568 is about 953.1564694911.

The spelling of 865949568 in words is "eight hundred sixty-five million, nine hundred forty-nine thousand, five hundred sixty-eight".