85685600 has 288 divisors, whose sum is σ = 283481856. Its totient is φ = 24422400.

The previous prime is 85685591. The next prime is 85685647. The reversal of 85685600 is 658658.

It is a congruent number.

It is an unprimeable number.

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, 800747 + ... + 800853.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^85685600 is an apocalyptic number.

85685600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

85685600 is an abundant number, since it is smaller than the sum of its proper divisors (197796256).

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

85685600 is a wasteful number, since it uses less digits than its factorization.

85685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 85685600 is about 9256.6516624533. The cubic root of 85685600 is about 440.8619467334.

It can be divided in two parts, 856 and 85600, that multiplied together give a square (73273600 = 8560²).

The spelling of 85685600 in words is "eighty-five million, six hundred eighty-five thousand, six hundred".