5109840 has 120 divisors (see below), whose sum is σ = 17641728. Its totient is φ = 1324800.

The previous prime is 5109821. The next prime is 5109847. The reversal of 5109840 is 489015.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×5109840³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109847) 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 23 ways as a sum of consecutive naturals, for example, 33765 + ... + 33915.

Almost surely, 2^5109840 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 5109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820864).

5109840 is an abundant number, since it is smaller than the sum of its proper divisors (12531888).

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

5109840 is a wasteful number, since it uses less digits than its factorization.

5109840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5109840 is about 2260.4955208980. The cubic root of 5109840 is about 172.2406942071.

The spelling of 5109840 in words is "five million, one hundred nine thousand, eight hundred forty".