85533936 has 80 divisors (see below), whose sum is σ = 240368544. Its totient is φ = 26099712.

The previous prime is 85533911. The next prime is 85533947. The reversal of 85533936 is 63933558.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28776 + ... + 31608.

Almost surely, 2^85533936 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 85533936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120184272).

85533936 is an abundant number, since it is smaller than the sum of its proper divisors (154834608).

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

85533936 is a wasteful number, since it uses less digits than its factorization.

85533936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2892 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 85533936 is about 9248.4558711171. The cubic root of 85533936 is about 440.6016837318.

The spelling of 85533936 in words is "eighty-five million, five hundred thirty-three thousand, nine hundred thirty-six".