643032 has 64 divisors (see below), whose sum is σ = 1932000. Its totient is φ = 196992.

The previous prime is 643031. The next prime is 643039. The reversal of 643032 is 230346.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 642996 and 643014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643032.

It is not an unprimeable number, because it can be changed into a prime (643031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694 + ... + 2922.

2⁶⁴³⁰³² 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 643032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966000).

643032 is an abundant number, since it is smaller than the sum of its proper divisors (1288968).

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

643032 is a wasteful number, since it uses less digits than its factorization.

643032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 643032 is about 801.8927609101. The cubic root of 643032 is about 86.3132617167.

Adding to 643032 its reverse (230346), we get a palindrome (873378).

Subtracting from 643032 its reverse (230346), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 643032 in words is "six hundred forty-three thousand, thirty-two".