10087584 has 96 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 3028992.

The previous prime is 10087573. The next prime is 10087591. The reversal of 10087584 is 48578001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73564 + ... + 73700.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 2^10087584 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 10087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

10087584 is an abundant number, since it is smaller than the sum of its proper divisors (19124256).

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

10087584 is a wasteful number, since it uses less digits than its factorization.

10087584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 10087584 is about 3176.0957164418. The cubic root of 10087584 is about 216.0706216264.

The spelling of 10087584 in words is "ten million, eighty-seven thousand, five hundred eighty-four".