9126144 has 108 divisors (see below), whose sum is σ = 27980316. Its totient is φ = 2850816.

The previous prime is 9126133. The next prime is 9126151. The reversal of 9126144 is 4416219.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 4665600 = 2112^2 + 2160^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39052 + ... + 39284.

It is an arithmetic number, because the mean of its divisors is an integer number (259077).

Almost surely, 2^9126144 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 9126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990158).

9126144 is an abundant number, since it is smaller than the sum of its proper divisors (18854172).

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

9126144 is a wasteful number, since it uses less digits than its factorization.

9126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9126144 is about 3020.9508436914. The cubic root of 9126144 is about 208.9756921739.

It can be divided in two parts, 912 and 6144, that added together give a square (7056 = 84²).

The spelling of 9126144 in words is "nine million, one hundred twenty-six thousand, one hundred forty-four".