96868200 has 192 divisors, whose sum is σ = 353102400. Its totient is φ = 21657600.

The previous prime is 96868181. The next prime is 96868229. The reversal of 96868200 is 286869.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85236 + ... + 86364.

It is an arithmetic number, because the mean of its divisors is an integer number (1839075).

Almost surely, 2^96868200 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 96868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176551200).

96868200 is an abundant number, since it is smaller than the sum of its proper divisors (256234200).

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

96868200 is a wasteful number, since it uses less digits than its factorization.

96868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 96868200 is about 9842.1643961072. The cubic root of 96868200 is about 459.2618912601.

The spelling of 96868200 in words is "ninety-six million, eight hundred sixty-eight thousand, two hundred".