563920 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 179712.

The previous prime is 563897. The next prime is 563929. The reversal of 563920 is 29365.

563920 = T₃₉ + T₄₀ + ... + T₁₅₀.

563920 = 25² + 26² + ... + 119².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563929) 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, 10614 + ... + 10666.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁵⁶³⁹²⁰ 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 563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

563920 is an abundant number, since it is smaller than the sum of its proper divisors (1043120).

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

563920 is a wasteful number, since it uses less digits than its factorization.

563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 563920 is about 750.9460699677. The cubic root of 563920 is about 82.6175856184.

It can be divided in two parts, 5 and 63920, that multiplied together give a triangular number (319600 = T₇₉₉).

The spelling of 563920 in words is "five hundred sixty-three thousand, nine hundred twenty".