4584096 has 72 divisors (see below), whose sum is σ = 14230944. Its totient is φ = 1388160.

The previous prime is 4584077. The next prime is 4584103. The reversal of 4584096 is 6904854.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4584096² = 42027872274432, which contains 22 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4584096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2445 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (197652).

Almost surely, 2^4584096 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 4584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115472).

4584096 is an abundant number, since it is smaller than the sum of its proper divisors (9646848).

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

4584096 is a wasteful number, since it uses less digits than its factorization.

4584096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

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

The square root of 4584096 is about 2141.0502095934. The cubic root of 4584096 is about 166.1184619174.

It can be divided in two parts, 458 and 4096, that added together give a palindrome (4554).

The spelling of 4584096 in words is "four million, five hundred eighty-four thousand, ninety-six".