9675936 has 60 divisors (see below), whose sum is σ = 28464282. Its totient is φ = 3224448.

The previous prime is 9675889. The next prime is 9675947. The reversal of 9675936 is 6395769.

It can be written as a sum of positive squares in only one way, i.e., 8088336 + 1587600 = 2844^2 + 1260^2 .

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 9675891 and 9675900.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 726 + ... + 4458.

Almost surely, 2^9675936 is an apocalyptic number.

9675936 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 9675936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232141).

9675936 is an abundant number, since it is smaller than the sum of its proper divisors (18788346).

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

9675936 is a wasteful number, since it uses less digits than its factorization.

9675936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3738 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 9675936 is about 3110.6166591208. The cubic root of 9675936 is about 213.0906180580.

It can be divided in two parts, 967 and 5936, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 9675936 in words is "nine million, six hundred seventy-five thousand, nine hundred thirty-six".