643008 has 56 divisors (see below), whose sum is σ = 1810512. Its totient is φ = 200704.

The previous prime is 642997. The next prime is 643009. The reversal of 643008 is 800346.

643008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643009) by changing a digit.

643008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3166 + ... + 3362.

2⁶⁴³⁰⁰⁸ is an apocalyptic number.

643008 is a gapful number since it is divisible by the number (68) 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 643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905256).

643008 is an abundant number, since it is smaller than the sum of its proper divisors (1167504).

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

643008 is a wasteful number, since it uses less digits than its factorization.

643008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 643008 is about 801.8777961760. The cubic root of 643008 is about 86.3121878748.

The spelling of 643008 in words is "six hundred forty-three thousand, eight".