9985700 has 36 divisors (see below), whose sum is σ = 22037652. Its totient is φ = 3926400.

The previous prime is 9985693. The next prime is 9985709. The reversal of 9985700 is 75899.

It can be written as a sum of positive squares in 6 ways, for example, as 4631104 + 5354596 = 2152^2 + 2314^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9985709) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5282 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (612157).

Almost surely, 2^9985700 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 9985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018826).

9985700 is an abundant number, since it is smaller than the sum of its proper divisors (12051952).

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

9985700 is a wasteful number, since it uses less digits than its factorization.

9985700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 9985700 is about 3160.0158227452. The cubic root of 9985700 is about 215.3407252929.

The spelling of 9985700 in words is "nine million, nine hundred eighty-five thousand, seven hundred".