9468144 has 160 divisors (see below), whose sum is σ = 32378880. Its totient is φ = 2592000.

The previous prime is 9468139. The next prime is 9468149. The reversal of 9468144 is 4418649.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9468139) and next prime (9468149).

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.

Its product of digits (27648) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9468099 and 9468108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93694 + ... + 93794.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 2^9468144 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 9468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440).

9468144 is an abundant number, since it is smaller than the sum of its proper divisors (22910736).

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

9468144 is a wasteful number, since it uses less digits than its factorization.

9468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 9468144 is about 3077.0349364282. The cubic root of 9468144 is about 211.5541835926.

The spelling of 9468144 in words is "nine million, four hundred sixty-eight thousand, one hundred forty-four".