10605564 has 36 divisors (see below), whose sum is σ = 27214824. Its totient is φ = 3481632.

The previous prime is 10605559. The next prime is 10605577. The reversal of 10605564 is 46550601.

It is a happy number.

10605564 is a `hidden beast` number, since 1 + 0 + 605 + 56 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10605564² = 224955975516192, 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, 214 + ... + 4610.

Almost surely, 2^10605564 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 10605564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607412).

10605564 is an abundant number, since it is smaller than the sum of its proper divisors (16609260).

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

10605564 is a wasteful number, since it uses less digits than its factorization.

10605564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10605564 is about 3256.6184916259. The cubic root of 10605564 is about 219.7073519336.

The spelling of 10605564 in words is "ten million, six hundred five thousand, five hundred sixty-four".