9985472 has 56 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 4135680.

The previous prime is 9985453. The next prime is 9985499. The reversal of 9985472 is 2745899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 9² + 9⁴ + 8⁴ + 5⁶ + 4 + 7⁸ + 2²² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13529 + ... + 14247.

Almost surely, 2^9985472 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 9985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

9985472 is an abundant number, since it is smaller than the sum of its proper divisors (13423168).

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

9985472 is a wasteful number, since it uses less digits than its factorization.

9985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 9985472 is about 3159.9797467705. The cubic root of 9985472 is about 215.3390863472.

The spelling of 9985472 in words is "nine million, nine hundred eighty-five thousand, four hundred seventy-two".