85286208 has 224 divisors, whose sum is σ = 280903680. Its totient is φ = 22302720.

The previous prime is 85286207. The next prime is 85286213. The reversal of 85286208 is 80268258.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85286207) 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 31 ways as a sum of consecutive naturals, for example, 958228 + ... + 958316.

Almost surely, 2^85286208 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 85286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

85286208 is an abundant number, since it is smaller than the sum of its proper divisors (195617472).

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

85286208 is a wasteful number, since it uses less digits than its factorization.

85286208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 85286208 is about 9235.0532212868. The cubic root of 85286208 is about 440.1759076259.

The spelling of 85286208 in words is "eighty-five million, two hundred eighty-six thousand, two hundred eight".