643392 has 42 divisors (see below), whose sum is σ = 1845818. Its totient is φ = 214272.

The previous prime is 643373. The next prime is 643403. The reversal of 643392 is 293346.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 254016 = 624^2 + 504^2 .

It is a nude number because it is divisible by every one of its digits.

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 643392.

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, 18 + ... + 1134.

2⁶⁴³³⁹² 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 643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922909).

643392 is an abundant number, since it is smaller than the sum of its proper divisors (1202426).

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

643392 is a wasteful number, since it uses less digits than its factorization.

643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1122 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 643392 is about 802.1171984193. The cubic root of 643392 is about 86.3293661393.

It can be divided in two parts, 643 and 392, that added together give a triangular number (1035 = T₄₅).

The spelling of 643392 in words is "six hundred forty-three thousand, three hundred ninety-two".