360564 has 12 divisors (see below), whose sum is σ = 841344. Its totient is φ = 120184.

The previous prime is 360551. The next prime is 360589. The reversal of 360564 is 465063.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360564.

It is an unprimeable number.

360564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15012 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (70112).

2³⁶⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

360564 is an abundant number, since it is smaller than the sum of its proper divisors (480780).

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

360564 is a wasteful number, since it uses less digits than its factorization.

360564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30054 (or 30052 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 360564 is about 600.4698160607. The cubic root of 360564 is about 71.1749964807.

The spelling of 360564 in words is "three hundred sixty thousand, five hundred sixty-four".