9304416 has 144 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 2787840.

The previous prime is 9304411. The next prime is 9304429. The reversal of 9304416 is 6144039.

9304416 is digitally balanced in base 2, base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 9304416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9304411) 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, 104500 + ... + 104588.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^9304416 is an apocalyptic number.

9304416 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 9304416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

9304416 is an abundant number, since it is smaller than the sum of its proper divisors (20859984).

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

9304416 is a wasteful number, since it uses less digits than its factorization.

9304416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9304416 is about 3050.3140821889. The cubic root of 9304416 is about 210.3276517819.

The spelling of 9304416 in words is "nine million, three hundred four thousand, four hundred sixteen".