9612288 has 132 divisors (see below), whose sum is σ = 31933200. Its totient is φ = 2727936.

The previous prime is 9612287. The next prime is 9612301. The reversal of 9612288 is 8822169.

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 not an unprimeable number, because it can be changed into a prime (9612283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64438 + ... + 64586.

Almost surely, 2^9612288 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 9612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966600).

9612288 is an abundant number, since it is smaller than the sum of its proper divisors (22320912).

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

9612288 is a wasteful number, since it uses less digits than its factorization.

9612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9612288 is about 3100.3690102954. The cubic root of 9612288 is about 212.6223553717.

It can be divided in two parts, 961 and 2288, that added together give a square (3249 = 57²).

The spelling of 9612288 in words is "nine million, six hundred twelve thousand, two hundred eighty-eight".