563140 has 24 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 218880.

The previous prime is 563131. The next prime is 563149. The reversal of 563140 is 41365.

563140 = T₄₀ + T₄₁ + ... + T₁₅₀.

It is an interprime number because it is at equal distance from previous prime (563131) and next prime (563149).

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 544644 = 136^2 + 738^2 .

It is not an unprimeable number, because it can be changed into a prime (563149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁵⁶³¹⁴⁰ 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 563140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

563140 is an abundant number, since it is smaller than the sum of its proper divisors (653012).

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

563140 is a wasteful number, since it uses less digits than its factorization.

563140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 563140 is about 750.4265453727. The cubic root of 563140 is about 82.5794765184.

It can be divided in two parts, 5631 and 40, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 563140 in words is "five hundred sixty-three thousand, one hundred forty".