85685856 has 96 divisors (see below), whose sum is σ = 237178368. Its totient is φ = 27033600.

The previous prime is 85685851. The next prime is 85685857. The reversal of 85685856 is 65858658.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×85685856³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85685799 and 85685808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85685851) 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 15 ways as a sum of consecutive naturals, for example, 333280 + ... + 333536.

It is an arithmetic number, because the mean of its divisors is an integer number (2470608).

Almost surely, 2^85685856 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 85685856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118589184).

85685856 is an abundant number, since it is smaller than the sum of its proper divisors (151492512).

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

85685856 is a wasteful number, since it uses less digits than its factorization.

85685856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 51.

The square root of 85685856 is about 9256.6654903372. The cubic root of 85685856 is about 440.8623857824.

The spelling of 85685856 in words is "eighty-five million, six hundred eighty-five thousand, eight hundred fifty-six".