868531200 has 264 divisors, whose sum is σ = 2948466048. Its totient is φ = 225361920.

The previous prime is 868531187. The next prime is 868531217. The reversal of 868531200 is 2135868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302269 + ... + 3302531.

It is an arithmetic number, because the mean of its divisors is an integer number (11168432).

Almost surely, 2^868531200 is an apocalyptic number.

868531200 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 868531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474233024).

868531200 is an abundant number, since it is smaller than the sum of its proper divisors (2079934848).

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

868531200 is a wasteful number, since it uses less digits than its factorization.

868531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 868531200 is about 29470.8533978913. The cubic root of 868531200 is about 954.1027362780.

The spelling of 868531200 in words is "eight hundred sixty-eight million, five hundred thirty-one thousand, two hundred".