85785532 has 48 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 34497792.

The previous prime is 85785523. The next prime is 85785533. The reversal of 85785532 is 23558758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85785533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59403 + ... + 60829.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 2^85785532 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 85785532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

85785532 is an abundant number, since it is smaller than the sum of its proper divisors (96541508).

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

85785532 is a wasteful number, since it uses less digits than its factorization.

85785532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its digits is 336000, while the sum is 43.

The square root of 85785532 is about 9262.0479376864. The cubic root of 85785532 is about 441.0332672357.

The spelling of 85785532 in words is "eighty-five million, seven hundred eighty-five thousand, five hundred thirty-two".