10089564 has 48 divisors (see below), whose sum is σ = 24729600. Its totient is φ = 3197376.

The previous prime is 10089553. The next prime is 10089581. The reversal of 10089564 is 46598001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27309 + ... + 27675.

It is an arithmetic number, because the mean of its divisors is an integer number (515200).

Almost surely, 2^10089564 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 10089564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364800).

10089564 is an abundant number, since it is smaller than the sum of its proper divisors (14640036).

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

10089564 is a wasteful number, since it uses less digits than its factorization.

10089564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10089564 is about 3176.4074046004. The cubic root of 10089564 is about 216.0847575465.

The spelling of 10089564 in words is "ten million, eighty-nine thousand, five hundred sixty-four".