66600 has 72 divisors (see below), whose sum is σ = 229710. Its totient is φ = 17280.
The previous prime is 66593. The next prime is 66601. The reversal of 66600 is 666.
It can be written as a sum of positive squares in 3 ways, for example, as 60516 + 6084 = 246^2 + 78^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (66601) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1782 + ... + 1818.
266600 is an apocalyptic number.
66600 is a gapful number since it is divisible by the number (60) 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 66600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114855).
66600 is an abundant number, since it is smaller than the sum of its proper divisors (163110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66600 is a wasteful number, since it uses less digits than its factorization.
66600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 66600 is about 258.0697580113. The cubic root of 66600 is about 40.5344927915.
Multiplying 66600 by its reverse (666), we get a square (44355600 = 66602).
66600 divided by its reverse (666) gives a square (100 = 102).
It can be divided in two parts, 66 and 600, that added together give a palindrome (666).
The spelling of 66600 in words is "sixty-six thousand, six hundred".
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