85057536 has 56 divisors (see below), whose sum is σ = 226871784. Its totient is φ = 28344320.

The previous prime is 85057529. The next prime is 85057537. The reversal of 85057536 is 63575058.

It is a junction number, because it is equal to n+sod(n) for n = 85057494 and 85057503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85057537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22846 + ... + 26306.

Almost surely, 2^85057536 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 85057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113435892).

85057536 is an abundant number, since it is smaller than the sum of its proper divisors (141814248).

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

85057536 is an equidigital number, since it uses as much as digits as its factorization.

85057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 85057536 is about 9222.6642571439. The cubic root of 85057536 is about 439.7821511116.

The spelling of 85057536 in words is "eighty-five million, fifty-seven thousand, five hundred thirty-six".