85318200 has 288 divisors, whose sum is σ = 324979200. Its totient is φ = 19872000.

The previous prime is 85318187. The next prime is 85318213. The reversal of 85318200 is 281358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85318187) and next prime (85318213).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 613731 + ... + 613869.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^85318200 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 85318200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

85318200 is an abundant number, since it is smaller than the sum of its proper divisors (239661000).

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

85318200 is a wasteful number, since it uses less digits than its factorization.

85318200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85318200 is about 9236.7851550201. The cubic root of 85318200 is about 440.2309393735.

Adding to 85318200 its reverse (281358), we get a palindrome (85599558).

The spelling of 85318200 in words is "eighty-five million, three hundred eighteen thousand, two hundred".