868944384 has 480 divisors, whose sum is σ = 3268362240. Its totient is φ = 215654400.

The previous prime is 868944383. The next prime is 868944397. The reversal of 868944384 is 483449868.

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

It is a self number, because there is not a number n which added to its sum of digits gives 868944384.

It is not an unprimeable number, because it can be changed into a prime (868944383) 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 47 ways as a sum of consecutive naturals, for example, 10999257 + ... + 10999335.

It is an arithmetic number, because the mean of its divisors is an integer number (6809088).

Almost surely, 2^868944384 is an apocalyptic number.

868944384 is a gapful number since it is divisible by the number (84) 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 868944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634181120).

868944384 is an abundant number, since it is smaller than the sum of its proper divisors (2399417856).

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

868944384 is a wasteful number, since it uses less digits than its factorization.

868944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 868944384 is about 29477.8626090834. The cubic root of 868944384 is about 954.2540098641.

The spelling of 868944384 in words is "eight hundred sixty-eight million, nine hundred forty-four thousand, three hundred eighty-four".