4000564 has 12 divisors (see below), whose sum is σ = 7369600. Its totient is φ = 1894968.

The previous prime is 4000561. The next prime is 4000567. The reversal of 4000564 is 4650004.

4000564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000561) and next prime (4000567).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26244 + ... + 26395.

Almost surely, 2^4000564 is an apocalyptic number.

It is an amenable number.

4000564 is a deficient number, since it is larger than the sum of its proper divisors (3369036).

4000564 is a wasteful number, since it uses less digits than its factorization.

4000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52662 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4000564 is about 2000.1409950301. The cubic root of 4000564 is about 158.7475656311.

Adding to 4000564 its reverse (4650004), we get a palindrome (8650568).

The spelling of 4000564 in words is "four million, five hundred sixty-four", and thus it is an aban number.