10840 has 16 divisors (see below), whose sum is σ = 24480. Its totient is φ = 4320.

The previous prime is 10837. The next prime is 10847. The reversal of 10840 is 4801.

It is a self number, because there is not a number n which added to its sum of digits gives 10840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2¹⁰⁸⁴⁰ is an apocalyptic number.

10840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10840 is an abundant number, since it is smaller than the sum of its proper divisors (13640).

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 (12240).

10840 is a wasteful number, since it uses less digits than its factorization.

10840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10840 is about 104.1153206786. The cubic root of 10840 is about 22.1314444929.

The spelling of 10840 in words is "ten thousand, eight hundred forty".