868048200 has 144 divisors (see below), whose sum is σ = 2943092880. Its totient is φ = 229265280.

The previous prime is 868048177. The next prime is 868048219. The reversal of 868048200 is 2840868.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 190347 + ... + 194853.

It is an arithmetic number, because the mean of its divisors is an integer number (20438145).

Almost surely, 2^868048200 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 868048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471546440).

868048200 is an abundant number, since it is smaller than the sum of its proper divisors (2075044680).

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

868048200 is a wasteful number, since it uses less digits than its factorization.

868048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4624 counting only the distinct ones).

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

The square root of 868048200 is about 29462.6577212579. The cubic root of 868048200 is about 953.9258410506.

The spelling of 868048200 in words is "eight hundred sixty-eight million, forty-eight thousand, two hundred".