4683564 has 18 divisors (see below), whose sum is σ = 11839100. Its totient is φ = 1561176.

The previous prime is 4683563. The next prime is 4683577. The reversal of 4683564 is 4653864.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 130099 = 4683564 / (4 + 6 + 8 + 3 + 5 + 6 + 4).

It is a d-powerful number, because it can be written as 4² + 6² + 8 + 3⁷ + 5⁹ + 6⁸ + 4¹⁰ .

4683564 is a modest number, since divided by 3564 gives 468 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4683563) 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 5 ways as a sum of consecutive naturals, for example, 65014 + ... + 65085.

Almost surely, 2^4683564 is an apocalyptic number.

It is an amenable number.

4683564 is an abundant number, since it is smaller than the sum of its proper divisors (7155536).

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

4683564 is a wasteful number, since it uses less digits than its factorization.

4683564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130109 (or 130104 counting only the distinct ones).

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

The square root of 4683564 is about 2164.1543383040. The cubic root of 4683564 is about 167.3113819486.

The spelling of 4683564 in words is "four million, six hundred eighty-three thousand, five hundred sixty-four".