643584 has 40 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 214016.

The previous prime is 643583. The next prime is 643589. The reversal of 643584 is 485346.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643584.

It is not an unprimeable number, because it can be changed into a prime (643583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1327 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

2⁶⁴³⁵⁸⁴ is an apocalyptic number.

643584 is a gapful number since it is divisible by the number (64) 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 643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

643584 is an abundant number, since it is smaller than the sum of its proper divisors (1075056).

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

643584 is an equidigital number, since it uses as much as digits as its factorization.

643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 643584 is about 802.2368727502. The cubic root of 643584 is about 86.3379527085.

The spelling of 643584 in words is "six hundred forty-three thousand, five hundred eighty-four".