9124416 has 168 divisors, whose sum is σ = 31276544. Its totient is φ = 2488320.

The previous prime is 9124403. The next prime is 9124417. The reversal of 9124416 is 6144219.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9124416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9124417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124956 + ... + 125028.

Almost surely, 2^9124416 is an apocalyptic number.

9124416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638272).

9124416 is an abundant number, since it is smaller than the sum of its proper divisors (22152128).

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

9124416 is a wasteful number, since it uses less digits than its factorization.

9124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

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

The square root of 9124416 is about 3020.6648274842. The cubic root of 9124416 is about 208.9625017621.

The spelling of 9124416 in words is "nine million, one hundred twenty-four thousand, four hundred sixteen".