85856200 has 24 divisors (see below), whose sum is σ = 199616130. Its totient is φ = 34342400.

The previous prime is 85856189. The next prime is 85856201. The reversal of 85856200 is 265858.

It can be written as a sum of positive squares in 3 ways, for example, as 83503044 + 2353156 = 9138^2 + 1534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85856201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 214441 + ... + 214840.

Almost surely, 2^85856200 is an apocalyptic number.

It is an amenable number.

85856200 is an abundant number, since it is smaller than the sum of its proper divisors (113759930).

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

85856200 is a wasteful number, since it uses less digits than its factorization.

85856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429297 (or 429288 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 85856200 is about 9265.8620753819. The cubic root of 85856200 is about 441.1543380967.

The spelling of 85856200 in words is "eighty-five million, eight hundred fifty-six thousand, two hundred".