643368 has 32 divisors (see below), whose sum is σ = 1755360. Its totient is φ = 194880.

The previous prime is 643303. The next prime is 643369. The reversal of 643368 is 863346.

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

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643368.

It is not an unprimeable number, because it can be changed into a prime (643369) by changing a digit.

643368 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, 955 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (54855).

2⁶⁴³³⁶⁸ is an apocalyptic number.

It is an amenable number.

643368 is an abundant number, since it is smaller than the sum of its proper divisors (1111992).

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

643368 is a wasteful number, since it uses less digits than its factorization.

643368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2453 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 643368 is about 802.1022378725. The cubic root of 643368 is about 86.3282926981.

The spelling of 643368 in words is "six hundred forty-three thousand, three hundred sixty-eight".