4961584 has 30 divisors (see below), whose sum is σ = 10157460. Its totient is φ = 2347488.

The previous prime is 4961563. The next prime is 4961587. The reversal of 4961584 is 4851694.

It is a happy number.

4961584 is a modest number, since divided by 1584 gives 496 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4961587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5347 + ... + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (338582).

Almost surely, 2^4961584 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 4961584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078730).

4961584 is an abundant number, since it is smaller than the sum of its proper divisors (5195876).

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

4961584 is a wasteful number, since it uses less digits than its factorization.

4961584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 880 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 4961584 is about 2227.4613352424. The cubic root of 4961584 is about 170.5585320319.

It can be divided in two parts, 496 and 1584, that added together give a triangular number (2080 = T₆₄).

The spelling of 4961584 in words is "four million, nine hundred sixty-one thousand, five hundred eighty-four".