8024 has 16 divisors (see below), whose sum is σ = 16200. Its totient is φ = 3712.
The previous prime is 8017. The next prime is 8039. The reversal of 8024 is 4208.
8024 is a modest number, since divided by 24 gives 8 as remainder.
It is a plaindrome in base 12 and base 15.
It is a congruent number.
It is an unprimeable number.
8024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 165.
28024 is an apocalyptic number.
It is an amenable number.
8024 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100).
8024 is a wasteful number, since it uses less digits than its factorization.
8024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 82 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 8024 is about 89.5767827062. The cubic root of 8024 is about 20.0199800333.
The spelling of 8024 in words is "eight thousand, twenty-four".
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