85755846 has 96 divisors (see below), whose sum is σ = 200559744. Its totient is φ = 24393600.

The previous prime is 85755841. The next prime is 85755853. The reversal of 85755846 is 64855758.

It is a junction number, because it is equal to n+sod(n) for n = 85755795 and 85755804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85755841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279905 + ... + 1279971.

It is an arithmetic number, because the mean of its divisors is an integer number (2089164).

Almost surely, 2^85755846 is an apocalyptic number.

85755846 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 85755846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279872).

85755846 is an abundant number, since it is smaller than the sum of its proper divisors (114803898).

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

85755846 is a wasteful number, since it uses less digits than its factorization.

85755846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The square root of 85755846 is about 9260.4452376762. The cubic root of 85755846 is about 440.9823883218.

The spelling of 85755846 in words is "eighty-five million, seven hundred fifty-five thousand, eight hundred forty-six".