4089564 has 36 divisors (see below), whose sum is σ = 10561824. Its totient is φ = 1333632.

The previous prime is 4089563. The next prime is 4089581. The reversal of 4089564 is 4659804.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^4089564 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 4089564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280912).

4089564 is an abundant number, since it is smaller than the sum of its proper divisors (6472260).

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

4089564 is a wasteful number, since it uses less digits than its factorization.

4089564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4089564 is about 2022.2670446803. The cubic root of 4089564 is about 159.9161539859.

The spelling of 4089564 in words is "four million, eighty-nine thousand, five hundred sixty-four".