9795936 has 48 divisors (see below), whose sum is σ = 26115264. Its totient is φ = 3214464.

The previous prime is 9795931. The next prime is 9795967. The reversal of 9795936 is 6395979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9795931) 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 7 ways as a sum of consecutive naturals, for example, 5671 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (544068).

Almost surely, 2^9795936 is an apocalyptic number.

9795936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9795936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057632).

9795936 is an abundant number, since it is smaller than the sum of its proper divisors (16319328).

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

9795936 is a wasteful number, since it uses less digits than its factorization.

9795936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 9795936 is about 3129.8460026014. The cubic root of 9795936 is about 213.9679108725.

It can be divided in two parts, 9795 and 936, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 9795936 in words is "nine million, seven hundred ninety-five thousand, nine hundred thirty-six".