10565968 has 30 divisors (see below), whose sum is σ = 23815626. Its totient is φ = 4527936.

The previous prime is 10565909. The next prime is 10565969. The reversal of 10565968 is 86956501.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 906304 = 3108^2 + 952^2 .

It is a super-2 number, since 2×10565968² = 223279359554048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10565968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5955 + ... + 7522.

Almost surely, 2^10565968 is an apocalyptic number.

It is an amenable number.

10565968 is an abundant number, since it is smaller than the sum of its proper divisors (13249658).

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

10565968 is a wasteful number, since it uses less digits than its factorization.

10565968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13499 (or 13486 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 10565968 is about 3250.5334946744. The cubic root of 10565968 is about 219.4335842703.

The spelling of 10565968 in words is "ten million, five hundred sixty-five thousand, nine hundred sixty-eight".