868982688 has 192 divisors, whose sum is σ = 3023032320. Its totient is φ = 237447936.

The previous prime is 868982687. The next prime is 868982717. The reversal of 868982688 is 886289868.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868982683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135981 + ... + 142227.

It is an arithmetic number, because the mean of its divisors is an integer number (15744960).

Almost surely, 2^868982688 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 868982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511516160).

868982688 is an abundant number, since it is smaller than the sum of its proper divisors (2154049632).

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

868982688 is a wasteful number, since it uses less digits than its factorization.

868982688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6282 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The square root of 868982688 is about 29478.5123098165. The cubic root of 868982688 is about 954.2680311714.

The spelling of 868982688 in words is "eight hundred sixty-eight million, nine hundred eighty-two thousand, six hundred eighty-eight".