564011120 has 40 divisors (see below), whose sum is σ = 1314280464. Its totient is φ = 225096192.

The previous prime is 564011101. The next prime is 564011141. The reversal of 564011120 is 21110465.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 564011092 and 564011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28847 + ... + 44273.

Almost surely, 2^564011120 is an apocalyptic number.

It is an amenable number.

564011120 is an abundant number, since it is smaller than the sum of its proper divisors (750269344).

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

564011120 is a wasteful number, since it uses less digits than its factorization.

564011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897 (or 15891 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 564011120 is about 23748.9182911559. The cubic root of 564011120 is about 826.2203525013.

Adding to 564011120 its reverse (21110465), we get a palindrome (585121585).

The spelling of 564011120 in words is "five hundred sixty-four million, eleven thousand, one hundred twenty".