9985620 has 48 divisors (see below), whose sum is σ = 28562688. Its totient is φ = 2605440.

The previous prime is 9985607. The next prime is 9985631. The reversal of 9985620 is 265899.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1050 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (595056).

Almost surely, 2^9985620 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 9985620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281344).

9985620 is an abundant number, since it is smaller than the sum of its proper divisors (18577068).

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

9985620 is a wasteful number, since it uses less digits than its factorization.

9985620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9985620 is about 3160.0031645554. The cubic root of 9985620 is about 215.3401502271.

The spelling of 9985620 in words is "nine million, nine hundred eighty-five thousand, six hundred twenty".