4861824 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1472000.

The previous prime is 4861811. The next prime is 4861859. The reversal of 4861824 is 4281684.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3649 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 2^4861824 is an apocalyptic number.

4861824 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 4861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4861824 is an abundant number, since it is smaller than the sum of its proper divisors (9238656).

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

4861824 is a wasteful number, since it uses less digits than its factorization.

4861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4861824 is about 2204.9544212976. The cubic root of 4861824 is about 169.4076732854.

The spelling of 4861824 in words is "four million, eight hundred sixty-one thousand, eight hundred twenty-four".