6984144 has 100 divisors (see below), whose sum is σ = 21470724. Its totient is φ = 2184192.

The previous prime is 6984143. The next prime is 6984149. The reversal of 6984144 is 4414896.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 4359744 = 1620^2 + 2088^2 .

It is a super-3 number, since 3×6984144³ (a number of 22 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6984099 and 6984108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21874 + ... + 22190.

Almost surely, 2^6984144 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 6984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735362).

6984144 is an abundant number, since it is smaller than the sum of its proper divisors (14486580).

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

6984144 is a wasteful number, since it uses less digits than its factorization.

6984144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6984144 is about 2642.7531099215. The cubic root of 6984144 is about 191.1485736707.

The spelling of 6984144 in words is "six million, nine hundred eighty-four thousand, one hundred forty-four".