85084506 has 84 divisors (see below), whose sum is σ = 209193642. Its totient is φ = 25789104.

The previous prime is 85084499. The next prime is 85084511. The reversal of 85084506 is 60548058.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81812025 + 3272481 = 9045^2 + 1809^2 .

It is a super-2 number, since 2×85084506² = 14478746322528072, which contains 22 as substring.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1269885 + ... + 1269951.

Almost surely, 2^85084506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85084506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104596821).

85084506 is an abundant number, since it is smaller than the sum of its proper divisors (124109136).

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

85084506 is an equidigital number, since it uses as much as digits as its factorization.

85084506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85084506 is about 9224.1263000893. The cubic root of 85084506 is about 439.8286281661.

The spelling of 85084506 in words is "eighty-five million, eighty-four thousand, five hundred six".