85644 has 48 divisors (see below), whose sum is σ = 243040. Its totient is φ = 25920.
The previous prime is 85643. The next prime is 85661. The reversal of 85644 is 44658.
85644 = 123 + 133 + ... + 243.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85643) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374 + ... + 1434.
285644 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 85644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).
85644 is an abundant number, since it is smaller than the sum of its proper divisors (157396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85644 is a wasteful number, since it uses less digits than its factorization.
85644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87 (or 79 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 85644 is about 292.6499615582. The cubic root of 85644 is about 44.0790589641.
It can be divided in two parts, 856 and 44, that added together give a square (900 = 302).
The spelling of 85644 in words is "eighty-five thousand, six hundred forty-four".
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