9985624 has 32 divisors (see below), whose sum is σ = 20820240. Its totient is φ = 4451200.

The previous prime is 9985607. The next prime is 9985631. The reversal of 9985624 is 4265899.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3594 + ... + 5734.

Almost surely, 2^9985624 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 9985624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410120).

9985624 is an abundant number, since it is smaller than the sum of its proper divisors (10834616).

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

9985624 is a wasteful number, since it uses less digits than its factorization.

9985624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 9985624 is about 3160.0037974661. The cubic root of 9985624 is about 215.3401789804.

It can be divided in two parts, 9985 and 624, that added together give a square (10609 = 103²).

The spelling of 9985624 in words is "nine million, nine hundred eighty-five thousand, six hundred twenty-four".