10561664 has 32 divisors (see below), whose sum is σ = 21261900. Its totient is φ = 5225472.

The previous prime is 10561643. The next prime is 10561693. The reversal of 10561664 is 46616501.

It can be written as a sum of positive squares in 2 ways, for example, as 10291264 + 270400 = 3208^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10561664² = 223097492897792, which contains 22 as substring.

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, 13574 + ... + 14330.

Almost surely, 2^10561664 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 10561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630950).

10561664 is an abundant number, since it is smaller than the sum of its proper divisors (10700236).

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

10561664 is an equidigital number, since it uses as much as digits as its factorization.

10561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10561664 is about 3249.8713820704. The cubic root of 10561664 is about 219.4037851260.

The spelling of 10561664 in words is "ten million, five hundred sixty-one thousand, six hundred sixty-four".