563760 has 120 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 145152.

The previous prime is 563747. The next prime is 563777. The reversal of 563760 is 67365.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 563760.

It is an unprimeable number.

563760 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 19426 + ... + 19454.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁵⁶³⁷⁶⁰ 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 563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

563760 is an abundant number, since it is smaller than the sum of its proper divisors (1467360).

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

563760 is a wasteful number, since it uses less digits than its factorization.

563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 563760 is about 750.8395301261. The cubic root of 563760 is about 82.6097712333.

The spelling of 563760 in words is "five hundred sixty-three thousand, seven hundred sixty".