9101920 has 48 divisors (see below), whose sum is σ = 21697200. Its totient is φ = 3608064.

The previous prime is 9101909. The next prime is 9101921. The reversal of 9101920 is 291019.

9101920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9101891 and 9101900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25906 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (452025).

Almost surely, 2^9101920 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 9101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848600).

9101920 is an abundant number, since it is smaller than the sum of its proper divisors (12595280).

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

9101920 is a wasteful number, since it uses less digits than its factorization.

9101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 9101920 is about 3016.9388459165. The cubic root of 9101920 is about 208.7906299774.

Adding to 9101920 its reverse (291019), we get a palindrome (9392939).

The spelling of 9101920 in words is "nine million, one hundred one thousand, nine hundred twenty".