4564096 has 32 divisors (see below), whose sum is σ = 9189180. Its totient is φ = 2257920.

The previous prime is 4564073. The next prime is 4564103. The reversal of 4564096 is 6904654.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 1600 = 2136^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable 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, 23070 + ... + 23266.

Almost surely, 2^4564096 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 4564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594590).

4564096 is an abundant number, since it is smaller than the sum of its proper divisors (4625084).

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

4564096 is a wasteful number, since it uses less digits than its factorization.

4564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 4564096 is about 2136.3744990053. The cubic root of 4564096 is about 165.8765230694.

The spelling of 4564096 in words is "four million, five hundred sixty-four thousand, ninety-six".