868351600 has 60 divisors (see below), whose sum is σ = 2094580224. Its totient is φ = 345948160.

The previous prime is 868351597. The next prime is 868351643. The reversal of 868351600 is 6153868.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 868351600.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 98577 + ... + 107023.

Almost surely, 2^868351600 is an apocalyptic number.

868351600 is a gapful number since it is divisible by the number (80) 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 868351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047290112).

868351600 is an abundant number, since it is smaller than the sum of its proper divisors (1226228624).

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

868351600 is a wasteful number, since it uses less digits than its factorization.

868351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 868351600 is about 29467.8061619796. The cubic root of 868351600 is about 954.0369667489.

The spelling of 868351600 in words is "eight hundred sixty-eight million, three hundred fifty-one thousand, six hundred".