563865120 has 432 divisors, whose sum is σ = 2388439872. Its totient is φ = 118609920.

The previous prime is 563865119. The next prime is 563865121. The reversal of 563865120 is 21568365.

563865120 is a `hidden beast` number, since 5 + 63 + 86 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563865119) and next prime (563865121).

It is a super-2 number, since 2×563865120² = 635887747105228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (563865121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703355 + ... + 1703685.

It is an arithmetic number, because the mean of its divisors is an integer number (5528796).

Almost surely, 2^563865120 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 563865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194219936).

563865120 is an abundant number, since it is smaller than the sum of its proper divisors (1824574752).

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

563865120 is a wasteful number, since it uses less digits than its factorization.

563865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 563865120 is about 23745.8442679977. The cubic root of 563865120 is about 826.1490545089.

The spelling of 563865120 in words is "five hundred sixty-three million, eight hundred sixty-five thousand, one hundred twenty".