10643584 has 48 divisors (see below), whose sum is σ = 24680430. Its totient is φ = 4558848.

The previous prime is 10643561. The next prime is 10643593. The reversal of 10643584 is 48534601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 4293184 = 2520^2 + 2072^2 .

It is a super-2 number, since 2×10643584² = 226571760730112, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 5424 + ... + 7120.

Almost surely, 2^10643584 is an apocalyptic number.

10643584 is a gapful number since it is divisible by the number (14) 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 10643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340215).

10643584 is an abundant number, since it is smaller than the sum of its proper divisors (14036846).

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

10643584 is an equidigital number, since it uses as much as digits as its factorization.

10643584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 10643584 is about 3262.4506126530. The cubic root of 10643584 is about 219.9695825715.

The spelling of 10643584 in words is "ten million, six hundred forty-three thousand, five hundred eighty-four".