10128564 has 60 divisors (see below), whose sum is σ = 27131104. Its totient is φ = 3293136.

The previous prime is 10128563. The next prime is 10128571. The reversal of 10128564 is 46582101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13569 + ... + 14295.

Almost surely, 2^10128564 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 10128564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565552).

10128564 is an abundant number, since it is smaller than the sum of its proper divisors (17002540).

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

10128564 is a wasteful number, since it uses less digits than its factorization.

10128564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10128564 is about 3182.5404946363. The cubic root of 10128564 is about 216.3628161608.

The spelling of 10128564 in words is "ten million, one hundred twenty-eight thousand, five hundred sixty-four".