9191920 has 40 divisors (see below), whose sum is σ = 21628080. Its totient is φ = 3632640.

The previous prime is 9191899. The next prime is 9191933. The reversal of 9191920 is 291919.

9191920 is digitally balanced in base 5, because in such base 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 (40).

It is a super-3 number, since 3×9191920³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6475 + ... + 7765.

It is an arithmetic number, because the mean of its divisors is an integer number (540702).

Almost surely, 2^9191920 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 9191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814040).

9191920 is an abundant number, since it is smaller than the sum of its proper divisors (12436160).

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

9191920 is a wasteful number, since it uses less digits than its factorization.

9191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The square root of 9191920 is about 3031.8179364863. The cubic root of 9191920 is about 209.4765496846.

The spelling of 9191920 in words is "nine million, one hundred ninety-one thousand, nine hundred twenty".