85855824 has 60 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 28497216.

The previous prime is 85855807. The next prime is 85855843. The reversal of 85855824 is 42855858.

It is a self number, because there is not a number n which added to its sum of digits gives 85855824.

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 11 ways as a sum of consecutive naturals, for example, 36739 + ... + 39005.

Almost surely, 2^85855824 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 85855824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

85855824 is an abundant number, since it is smaller than the sum of its proper divisors (155441232).

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

85855824 is a wasteful number, since it uses less digits than its factorization.

85855824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2535 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 85855824 is about 9265.8417858282. The cubic root of 85855824 is about 441.1536940963.

The spelling of 85855824 in words is "eighty-five million, eight hundred fifty-five thousand, eight hundred twenty-four".