7289984 has 48 divisors (see below), whose sum is σ = 15772770. Its totient is φ = 3354624.

The previous prime is 7289959. The next prime is 7289987. The reversal of 7289984 is 4899827.

It can be written as a sum of positive squares in 3 ways, for example, as 2795584 + 4494400 = 1672^2 + 2120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7289987) 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, 21464 + ... + 21800.

Almost surely, 2^7289984 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 7289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886385).

7289984 is an abundant number, since it is smaller than the sum of its proper divisors (8482786).

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

7289984 is a wasteful number, since it uses less digits than its factorization.

7289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 7289984 is about 2699.9970370354. The cubic root of 7289984 is about 193.8989802470.

The spelling of 7289984 in words is "seven million, two hundred eighty-nine thousand, nine hundred eighty-four".