10584672 has 96 divisors (see below), whose sum is σ = 33465600. Its totient is φ = 2861568.

The previous prime is 10584667. The next prime is 10584703. The reversal of 10584672 is 27648501.

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

It is a super-2 number, since 2×10584672² = 224070562695168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12354 + ... + 13182.

It is an arithmetic number, because the mean of its divisors is an integer number (348600).

Almost surely, 2^10584672 is an apocalyptic number.

10584672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732800).

10584672 is an abundant number, since it is smaller than the sum of its proper divisors (22880928).

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

10584672 is a wasteful number, since it uses less digits than its factorization.

10584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10584672 is about 3253.4092887308. The cubic root of 10584672 is about 219.5629892404.

The spelling of 10584672 in words is "ten million, five hundred eighty-four thousand, six hundred seventy-two".