868847616 has 468 divisors, whose sum is σ = 3228990492. Its totient is φ = 222953472.

The previous prime is 868847557. The next prime is 868847659. The reversal of 868847616 is 616748868.

868847616 is a `hidden beast` number, since 86 + 88 + 476 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 462422016 + 406425600 = 21504^2 + 20160^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482350 + ... + 23482386.

Almost surely, 2^868847616 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 868847616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614495246).

868847616 is an abundant number, since it is smaller than the sum of its proper divisors (2360142876).

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

868847616 is a wasteful number, since it uses less digits than its factorization.

868847616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 868847616 is about 29476.2211960760. The cubic root of 868847616 is about 954.2185857788.

The spelling of 868847616 in words is "eight hundred sixty-eight million, eight hundred forty-seven thousand, six hundred sixteen".