9208416 has 96 divisors (see below), whose sum is σ = 28159488. Its totient is φ = 2580480.

The previous prime is 9208387. The next prime is 9208417. The reversal of 9208416 is 6148029.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9208417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47616 + ... + 47808.

It is an arithmetic number, because the mean of its divisors is an integer number (293328).

Almost surely, 2^9208416 is an apocalyptic number.

9208416 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 9208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744).

9208416 is an abundant number, since it is smaller than the sum of its proper divisors (18951072).

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

9208416 is a wasteful number, since it uses less digits than its factorization.

9208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9208416 is about 3034.5371970039. The cubic root of 9208416 is about 209.6017850401.

The spelling of 9208416 in words is "nine million, two hundred eight thousand, four hundred sixteen".