9984576 has 224 divisors, whose sum is σ = 35112960. Its totient is φ = 2433024.

The previous prime is 9984563. The next prime is 9984577. The reversal of 9984576 is 6754899.

9984576 = T₆₉ + T₇₀ + ... + T₃₉₁.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (544320) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (9984577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434101 + ... + 434123.

Almost surely, 2^9984576 is an apocalyptic number.

9984576 is a gapful number since it is divisible by the number (96) 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 9984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

9984576 is an abundant number, since it is smaller than the sum of its proper divisors (25128384).

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

9984576 is a wasteful number, since it uses less digits than its factorization.

9984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 9984576 is about 3159.8379705295. The cubic root of 9984576 is about 215.3326453366.

The spelling of 9984576 in words is "nine million, nine hundred eighty-four thousand, five hundred seventy-six".