5106584 has 32 divisors (see below), whose sum is σ = 11172000. Its totient is φ = 2187360.

The previous prime is 5106571. The next prime is 5106589. The reversal of 5106584 is 4856015.

It is a happy number.

5106584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1814 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (349125).

Almost surely, 2^5106584 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 5106584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586000).

5106584 is an abundant number, since it is smaller than the sum of its proper divisors (6065416).

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

5106584 is a wasteful number, since it uses less digits than its factorization.

5106584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5106584 is about 2259.7752100596. The cubic root of 5106584 is about 172.2041023986.

The spelling of 5106584 in words is "five million, one hundred six thousand, five hundred eighty-four".