563940 has 72 divisors (see below), whose sum is σ = 1849848. Its totient is φ = 138240.

The previous prime is 563933. The next prime is 563947. The reversal of 563940 is 49365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (563933) and next prime (563947).

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 527076 = 192^2 + 726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563947) by changing a digit.

563940 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 23 ways as a sum of consecutive naturals, for example, 2220 + ... + 2460.

2⁵⁶³⁹⁴⁰ 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 563940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924924).

563940 is an abundant number, since it is smaller than the sum of its proper divisors (1285908).

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

563940 is a wasteful number, since it uses less digits than its factorization.

563940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 563940 is about 750.9593863852. The cubic root of 563940 is about 82.6185623126.

The spelling of 563940 in words is "five hundred sixty-three thousand, nine hundred forty".