9975936 has 64 divisors (see below), whose sum is σ = 26903520. Its totient is φ = 3274752.

The previous prime is 9975899. The next prime is 9975943. The reversal of 9975936 is 6395799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31716 + ... + 32028.

Almost surely, 2^9975936 is an apocalyptic number.

9975936 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 9975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451760).

9975936 is an abundant number, since it is smaller than the sum of its proper divisors (16927584).

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

9975936 is a wasteful number, since it uses less digits than its factorization.

9975936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

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

The square root of 9975936 is about 3158.4705159301. The cubic root of 9975936 is about 215.2705158095.

The spelling of 9975936 in words is "nine million, nine hundred seventy-five thousand, nine hundred thirty-six".