865484568 has 128 divisors (see below), whose sum is σ = 2604100800. Its totient is φ = 264757248.

The previous prime is 865484563. The next prime is 865484597.

865484568 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×865484568³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865484563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541146 + ... + 542742.

Almost surely, 2^865484568 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 865484568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302050400).

865484568 is an abundant number, since it is smaller than the sum of its proper divisors (1738616232).

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

865484568 is a wasteful number, since it uses less digits than its factorization.

865484568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1808 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 865484568 is about 29419.1190894629. The cubic root of 865484568 is about 952.9858294093.

The spelling of 865484568 in words is "eight hundred sixty-five million, four hundred eighty-four thousand, five hundred sixty-eight".