9785988 has 72 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 3078000.

The previous prime is 9785903. The next prime is 9785989. The reversal of 9785988 is 8895879.

It is a super-2 number, since 2×9785988² = 191531122272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9785989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38863 + ... + 39113.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 2^9785988 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 9785988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

9785988 is an abundant number, since it is smaller than the sum of its proper divisors (17097372).

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

9785988 is a wasteful number, since it uses less digits than its factorization.

9785988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 9785988 is about 3128.2563833548. The cubic root of 9785988 is about 213.8954565501.

The spelling of 9785988 in words is "nine million, seven hundred eighty-five thousand, nine hundred eighty-eight".