4685824 has 64 divisors (see below), whose sum is σ = 11009880. Its totient is φ = 1966080.

The previous prime is 4685809. The next prime is 4685827. The reversal of 4685824 is 4285864.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4685827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360442 + ... + 360454.

Almost surely, 2^4685824 is an apocalyptic number.

4685824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504940).

4685824 is an abundant number, since it is smaller than the sum of its proper divisors (6324056).

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

4685824 is an equidigital number, since it uses as much as digits as its factorization.

4685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 4685824 is about 2164.6764192368. The cubic root of 4685824 is about 167.3382890162.

The spelling of 4685824 in words is "four million, six hundred eighty-five thousand, eight hundred twenty-four".