8984480 has 48 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 3563520.

The previous prime is 8984477. The next prime is 8984489. The reversal of 8984480 is 844898.

It can be written as a sum of positive squares in 4 ways, for example, as 6990736 + 1993744 = 2644^2 + 1412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8984489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37160 + ... + 37400.

Almost surely, 2^8984480 is an apocalyptic number.

8984480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

8984480 is an abundant number, since it is smaller than the sum of its proper divisors (12420904).

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

8984480 is a wasteful number, since it uses less digits than its factorization.

8984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 8984480 is about 2997.4122172301. The cubic root of 8984480 is about 207.8887472110. Note that the first 3 decimals are identical.

The spelling of 8984480 in words is "eight million, nine hundred eighty-four thousand, four hundred eighty".