9486144 has 84 divisors (see below), whose sum is σ = 27895296. Its totient is φ = 3080448.

The previous prime is 9486137. The next prime is 9486157. The reversal of 9486144 is 4416849.

It is a happy number.

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 = 9486099 and 9486108.

It is a congruent number.

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, 24577 + ... + 24959.

Almost surely, 2^9486144 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 9486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947648).

9486144 is an abundant number, since it is smaller than the sum of its proper divisors (18409152).

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

9486144 is a wasteful number, since it uses less digits than its factorization.

9486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

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

The square root of 9486144 is about 3079.9584412781. The cubic root of 9486144 is about 211.6881614423.

The spelling of 9486144 in words is "nine million, four hundred eighty-six thousand, one hundred forty-four".