10565840 has 60 divisors (see below), whose sum is σ = 26152716. Its totient is φ = 3969024.

The previous prime is 10565827. The next prime is 10565861. The reversal of 10565840 is 4856501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1827904 + 8737936 = 1352^2 + 2956^2 .

It is a super-2 number, since 2×10565840² = 223273949811200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22892 + ... + 23348.

Almost surely, 2^10565840 is an apocalyptic number.

10565840 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 10565840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076358).

10565840 is an abundant number, since it is smaller than the sum of its proper divisors (15586876).

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

10565840 is a wasteful number, since it uses less digits than its factorization.

10565840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 10565840 is about 3250.5138055391. The cubic root of 10565840 is about 219.4326981672.

The spelling of 10565840 in words is "ten million, five hundred sixty-five thousand, eight hundred forty".