9804672 has 64 divisors (see below), whose sum is σ = 28947600. Its totient is φ = 3267072.

The previous prime is 9804653. The next prime is 9804677. The reversal of 9804672 is 2764089.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9804672² = 192263186055168, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 9⁷ + 8³ + 0 + 4¹¹ + 6⁴ + 7⁷ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9804677) 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, 2038 + ... + 4874.

Almost surely, 2^9804672 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 9804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473800).

9804672 is an abundant number, since it is smaller than the sum of its proper divisors (19142928).

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

9804672 is a wasteful number, since it uses less digits than its factorization.

9804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9804672 is about 3131.2412874130. The cubic root of 9804672 is about 214.0314973873.

The spelling of 9804672 in words is "nine million, eight hundred four thousand, six hundred seventy-two".