85184208 has 60 divisors (see below), whose sum is σ = 240798948. Its totient is φ = 28108800.

The previous prime is 85184171. The next prime is 85184213. The reversal of 85184208 is 80248158.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 3968064 = 9012^2 + 1992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 11616 + ... + 17472.

Almost surely, 2^85184208 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 85184208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399474).

85184208 is an abundant number, since it is smaller than the sum of its proper divisors (155614740).

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

85184208 is a wasteful number, since it uses less digits than its factorization.

85184208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85184208 is about 9229.5291320847. The cubic root of 85184208 is about 440.0003581264. Note that the first 3 decimals are identical.

The spelling of 85184208 in words is "eighty-five million, one hundred eighty-four thousand, two hundred eight".