563613120 has 224 divisors, whose sum is σ = 2272588800. Its totient is φ = 128812032.

The previous prime is 563613109. The next prime is 563613157. The reversal of 563613120 is 21316365.

563613120 is a `hidden beast` number, since 5 + 636 + 1 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×563613120² = 635319498072268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55821 + ... + 65139.

Almost surely, 2^563613120 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 563613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136294400).

563613120 is an abundant number, since it is smaller than the sum of its proper divisors (1708975680).

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

563613120 is a wasteful number, since it uses less digits than its factorization.

563613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9336 counting only the distinct ones).

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

The square root of 563613120 is about 23740.5374833848. The cubic root of 563613120 is about 826.0259632610.

Adding to 563613120 its reverse (21316365), we get a palindrome (584929485).

The spelling of 563613120 in words is "five hundred sixty-three million, six hundred thirteen thousand, one hundred twenty".