4861584 has 180 divisors, whose sum is σ = 17366076. Its totient is φ = 1257984.

The previous prime is 4861573. The next prime is 4861601. The reversal of 4861584 is 4851684.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 2822400 = 1428^2 + 1680^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91702 + ... + 91754.

Almost surely, 2^4861584 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 4861584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683038).

4861584 is an abundant number, since it is smaller than the sum of its proper divisors (12504492).

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

4861584 is a wasteful number, since it uses less digits than its factorization.

4861584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4861584 is about 2204.8999977323. The cubic root of 4861584 is about 169.4048856820.

It can be divided in two parts, 4861 and 584, that added together give a palindrome (5445).

The spelling of 4861584 in words is "four million, eight hundred sixty-one thousand, five hundred eighty-four".