85085406 has 48 divisors (see below), whose sum is σ = 213677568. Its totient is φ = 23965200.

The previous prime is 85085389. The next prime is 85085411. The reversal of 85085406 is 60458058.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 4191 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (4451616).

Almost surely, 2^85085406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85085406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106838784).

85085406 is an abundant number, since it is smaller than the sum of its proper divisors (128592162).

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

85085406 is a wasteful number, since it uses less digits than its factorization.

85085406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9594 counting only the distinct ones).

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

The square root of 85085406 is about 9224.1750850686. The cubic root of 85085406 is about 439.8301789552.

It can be divided in two parts, 85085 and 406, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85085406 in words is "eighty-five million, eighty-five thousand, four hundred six".