4561824 has 96 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1382400.

The previous prime is 4561807. The next prime is 4561849. The reversal of 4561824 is 4281654.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4561791 and 4561800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74754 + ... + 74814.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^4561824 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 4561824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4561824 is an abundant number, since it is smaller than the sum of its proper divisors (8562336).

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

4561824 is a wasteful number, since it uses less digits than its factorization.

4561824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4561824 is about 2135.8426908366. The cubic root of 4561824 is about 165.8489941412.

It can be divided in two parts, 456 and 1824, that multiplied together give a square (831744 = 912²).

The spelling of 4561824 in words is "four million, five hundred sixty-one thousand, eight hundred twenty-four".