10805824 has 28 divisors (see below), whose sum is σ = 21653500. Its totient is φ = 5349888.

The previous prime is 10805819. The next prime is 10805831. The reversal of 10805824 is 42850801.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 5198400 = 2368^2 + 2280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10805792 and 10805801.

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, 6202 + ... + 7750.

Almost surely, 2^10805824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826750).

10805824 is an abundant number, since it is smaller than the sum of its proper divisors (10847676).

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

10805824 is a wasteful number, since it uses less digits than its factorization.

10805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10805824 is about 3287.2213189866. The cubic root of 10805824 is about 221.0816157404.

The spelling of 10805824 in words is "ten million, eight hundred five thousand, eight hundred twenty-four".