85058136 has 96 divisors (see below), whose sum is σ = 245372400. Its totient is φ = 26542080.

The previous prime is 85058119. The next prime is 85058137. The reversal of 85058136 is 63185058.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85058136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85058137) 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 23 ways as a sum of consecutive naturals, for example, 132376 + ... + 133016.

Almost surely, 2^85058136 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 85058136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122686200).

85058136 is an abundant number, since it is smaller than the sum of its proper divisors (160314264).

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

85058136 is a wasteful number, since it uses less digits than its factorization.

85058136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85058136 is about 9222.6967856479. The cubic root of 85058136 is about 439.7831851907.

It can be divided in two parts, 8505 and 8136, that added together give a square (16641 = 129²).

The spelling of 85058136 in words is "eighty-five million, fifty-eight thousand, one hundred thirty-six".