85085200 has 60 divisors (see below), whose sum is σ = 209978500. Its totient is φ = 33108480.

The previous prime is 85085197. The next prime is 85085201. The reversal of 85085200 is 258058.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 80209936 = 2208^2 + 8956^2 .

It is not an unprimeable number, because it can be changed into a prime (85085201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11926 + ... + 17674.

Almost surely, 2^85085200 is an apocalyptic number.

85085200 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 85085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104989250).

85085200 is an abundant number, since it is smaller than the sum of its proper divisors (124893300).

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

85085200 is a wasteful number, since it uses less digits than its factorization.

85085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 85085200 is about 9224.1639187517. The cubic root of 85085200 is about 439.8298239978.

The spelling of 85085200 in words is "eighty-five million, eighty-five thousand, two hundred".