10960 has 20 divisors (see below), whose sum is σ = 25668. Its totient is φ = 4352.
The previous prime is 10957. The next prime is 10973. The reversal of 10960 is 6901.
It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 5776 = 72^2 + 76^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a plaindrome in base 15.
It is a zygodrome in base 15.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 148.
210960 is an apocalyptic number.
10960 is a gapful number since it is divisible by the number (10) 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 10960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834).
10960 is an abundant number, since it is smaller than the sum of its proper divisors (14708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10960 is a wasteful number, since it uses less digits than its factorization.
10960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 150 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
The square root of 10960 is about 104.6900186264. The cubic root of 10960 is about 22.2128108295.
It can be divided in two parts, 109 and 60, that added together give a square (169 = 132).
The spelling of 10960 in words is "ten thousand, nine hundred sixty".
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