85800208 has 40 divisors (see below), whose sum is σ = 183410136. Its totient is φ = 38630400.

The previous prime is 85800203. The next prime is 85800217. The reversal of 85800208 is 80200858.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 85599504 = 448^2 + 9252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85800208.

It is not an unprimeable number, because it can be changed into a prime (85800203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3498 + ... + 13558.

Almost surely, 2^85800208 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 85800208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91705068).

85800208 is an abundant number, since it is smaller than the sum of its proper divisors (97609928).

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

85800208 is a wasteful number, since it uses less digits than its factorization.

85800208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 85800208 is about 9262.8401691922. The cubic root of 85800208 is about 441.0584161351.

The spelling of 85800208 in words is "eighty-five million, eight hundred thousand, two hundred eight".