85004046 has 128 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 24675840.

The previous prime is 85004041. The next prime is 85004071. The reversal of 85004046 is 64040058.

It is a super-3 number, since 3×85004046³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85004041) 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 63 ways as a sum of consecutive naturals, for example, 825231 + ... + 825333.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^85004046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85004046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

85004046 is an abundant number, since it is smaller than the sum of its proper divisors (130650354).

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

85004046 is a wasteful number, since it uses less digits than its factorization.

85004046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85004046 is about 9219.7638798399. The cubic root of 85004046 is about 439.6899434082.

The spelling of 85004046 in words is "eighty-five million, four thousand, forty-six".