9409920 has 192 divisors, whose sum is σ = 33598800. Its totient is φ = 2236416.

The previous prime is 9409909. The next prime is 9409943. The reversal of 9409920 is 299049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324466 + ... + 324494.

Almost surely, 2^9409920 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 9409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799400).

9409920 is an abundant number, since it is smaller than the sum of its proper divisors (24188880).

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

9409920 is a wasteful number, since it uses less digits than its factorization.

9409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9409920 is about 3067.5592903805. The cubic root of 9409920 is about 211.1196434430.

The spelling of 9409920 in words is "nine million, four hundred nine thousand, nine hundred twenty".