868002048 has 288 divisors, whose sum is σ = 2781475200. Its totient is φ = 266010624.

The previous prime is 868002043. The next prime is 868002067. The reversal of 868002048 is 840200868.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (868002043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9752788 + ... + 9752876.

It is an arithmetic number, because the mean of its divisors is an integer number (9657900).

Almost surely, 2^868002048 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 868002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390737600).

868002048 is an abundant number, since it is smaller than the sum of its proper divisors (1913473152).

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

868002048 is a wasteful number, since it uses less digits than its factorization.

868002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 868002048 is about 29461.8744821167. The cubic root of 868002048 is about 953.9089347829.

The spelling of 868002048 in words is "eight hundred sixty-eight million, two thousand, forty-eight".