10240 has 24 divisors (see below), whose sum is σ = 24570. Its totient is φ = 4096.

The previous prime is 10223. The next prime is 10243. The reversal of 10240 is 4201.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 1024 = 96^2 + 32^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=10, B=2.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10243) by changing a digit.

10240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 10240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2046 + ... + 2050.

2¹⁰²⁴⁰ is an apocalyptic number.

10240 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 10240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285).

10240 is an abundant number, since it is smaller than the sum of its proper divisors (14330).

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

10240 is an frugal number, since it uses more digits than its factorization.

10240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10240 is about 101.1928851254. The cubic root of 10240 is about 21.7153409328.

Adding to 10240 its reverse (4201), we get a palindrome (14441).

The spelling of 10240 in words is "ten thousand, two hundred forty", and thus it is an iban number.