10566528 has 64 divisors (see below), whose sum is σ = 32085120. Its totient is φ = 3018240.

The previous prime is 10566511. The next prime is 10566529. The reversal of 10566528 is 82566501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10566528² = 223303027949568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10566529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 4653.

It is an arithmetic number, because the mean of its divisors is an integer number (501330).

Almost surely, 2^10566528 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 10566528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042560).

10566528 is an abundant number, since it is smaller than the sum of its proper divisors (21518592).

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

10566528 is an equidigital number, since it uses as much as digits as its factorization.

10566528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 10566528 is about 3250.6196332392. The cubic root of 10566528 is about 219.4374608874.

The spelling of 10566528 in words is "ten million, five hundred sixty-six thousand, five hundred twenty-eight".