85027536 has 160 divisors (see below), whose sum is σ = 275875200. Its totient is φ = 24837120.

The previous prime is 85027531. The next prime is 85027577. The reversal of 85027536 is 63572058.

85027536 = 349² + 350² + ... + 667².

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 85027536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85027531) 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 31 ways as a sum of consecutive naturals, for example, 137500 + ... + 138116.

It is an arithmetic number, because the mean of its divisors is an integer number (1724220).

Almost surely, 2^85027536 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 85027536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137937600).

85027536 is an abundant number, since it is smaller than the sum of its proper divisors (190847664).

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

85027536 is a wasteful number, since it uses less digits than its factorization.

85027536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85027536 is about 9221.0376856404. The cubic root of 85027536 is about 439.7304409532.

The spelling of 85027536 in words is "eighty-five million, twenty-seven thousand, five hundred thirty-six".