9936144 has 30 divisors (see below), whose sum is σ = 27807806. Its totient is φ = 3312000.

The previous prime is 9936133. The next prime is 9936163. The reversal of 9936144 is 4416399.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 4460544 = 2340^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9936099 and 9936108.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 34357 + ... + 34644.

Almost surely, 2^9936144 is an apocalyptic number.

It is an amenable number.

9936144 is an abundant number, since it is smaller than the sum of its proper divisors (17871662).

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

9936144 is a wasteful number, since it uses less digits than its factorization.

9936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69015 (or 69006 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9936144 is about 3152.1649703022. The cubic root of 9936144 is about 214.9839108205.

The spelling of 9936144 in words is "nine million, nine hundred thirty-six thousand, one hundred forty-four".