564060384 has 72 divisors (see below), whose sum is σ = 1607015592. Its totient is φ = 187672320.

The previous prime is 564060361. The next prime is 564060403. The reversal of 564060384 is 483060465.

564060384 is a `hidden beast` number, since 5 + 6 + 40 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 188887 + ... + 191849.

It is an arithmetic number, because the mean of its divisors is an integer number (22319661).

Almost surely, 2^564060384 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 564060384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803507796).

564060384 is an abundant number, since it is smaller than the sum of its proper divisors (1042955208).

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

564060384 is a wasteful number, since it uses less digits than its factorization.

564060384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564060384 is about 23749.9554525898. The cubic root of 564060384 is about 826.2444074256.

The spelling of 564060384 in words is "five hundred sixty-four million, sixty thousand, three hundred eighty-four".