5109984 has 72 divisors (see below), whose sum is σ = 15862392. Its totient is φ = 1547520.

The previous prime is 5109971. The next prime is 5109989. The reversal of 5109984 is 4899015.

5109984 = T₁₆ + T₁₇ + ... + T₃₁₂.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5109984² = 52223872960512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (220311).

Almost surely, 2^5109984 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 5109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931196).

5109984 is an abundant number, since it is smaller than the sum of its proper divisors (10752408).

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

5109984 is a wasteful number, since it uses less digits than its factorization.

5109984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5109984 is about 2260.5273720971. The cubic root of 5109984 is about 172.2423121590.

The spelling of 5109984 in words is "five million, one hundred nine thousand, nine hundred eighty-four".