564105540 has 48 divisors (see below), whose sum is σ = 1580681088. Its totient is φ = 150315264.

The previous prime is 564105539. The next prime is 564105551. The reversal of 564105540 is 45501465.

564105540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 564105498 and 564105507.

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 15 ways as a sum of consecutive naturals, for example, 104344 + ... + 109616.

It is an arithmetic number, because the mean of its divisors is an integer number (32930856).

Almost surely, 2^564105540 is an apocalyptic number.

It is an amenable number.

564105540 is an abundant number, since it is smaller than the sum of its proper divisors (1016575548).

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

564105540 is a wasteful number, since it uses less digits than its factorization.

564105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 564105540 is about 23750.9060879790. The cubic root of 564105540 is about 826.2664552405.

The spelling of 564105540 in words is "five hundred sixty-four million, one hundred five thousand, five hundred forty".