868291200 has 576 divisors, whose sum is σ = 3650212800. Its totient is φ = 192430080.

The previous prime is 868291199. The next prime is 868291219. The reversal of 868291200 is 2192868.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11894364 + ... + 11894436.

It is an arithmetic number, because the mean of its divisors is an integer number (6337175).

Almost surely, 2^868291200 is an apocalyptic number.

868291200 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 868291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825106400).

868291200 is an abundant number, since it is smaller than the sum of its proper divisors (2781921600).

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

868291200 is a wasteful number, since it uses less digits than its factorization.

868291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 868291200 is about 29466.7812969113. The cubic root of 868291200 is about 954.0148462281.

The spelling of 868291200 in words is "eight hundred sixty-eight million, two hundred ninety-one thousand, two hundred".