868921344 has 208 divisors, whose sum is σ = 2632915040. Its totient is φ = 286654464.

The previous prime is 868921309. The next prime is 868921349. The reversal of 868921344 is 443129868.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 868921344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868921349) 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 15 ways as a sum of consecutive naturals, for example, 8957904 + ... + 8958000.

Almost surely, 2^868921344 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 868921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316457520).

868921344 is an abundant number, since it is smaller than the sum of its proper divisors (1763993696).

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

868921344 is an frugal number, since it uses more digits than its factorization.

868921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 868921344 is about 29477.4718047529. The cubic root of 868921344 is about 954.2455757966.

The spelling of 868921344 in words is "eight hundred sixty-eight million, nine hundred twenty-one thousand, three hundred forty-four".