85600 has 36 divisors (see below), whose sum is σ = 210924. Its totient is φ = 33920.

The previous prime is 85597. The next prime is 85601. The reversal of 85600 is 658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 747 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁸⁵⁶⁰⁰ is an apocalyptic number.

85600 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 85600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462).

85600 is an abundant number, since it is smaller than the sum of its proper divisors (125324).

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

85600 is a wasteful number, since it uses less digits than its factorization.

85600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 85600 is about 292.5747767666. The cubic root of 85600 is about 44.0715090644.

The spelling of 85600 in words is "eighty-five thousand, six hundred".