9181920 has 192 divisors, whose sum is σ = 33094656. Its totient is φ = 2119680.

The previous prime is 9181901. The next prime is 9181937. The reversal of 9181920 is 291819.

9181920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195337 + ... + 195383.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^9181920 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 9181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

9181920 is an abundant number, since it is smaller than the sum of its proper divisors (23912736).

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

9181920 is a wasteful number, since it uses less digits than its factorization.

9181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 9181920 is about 3030.1683121569. The cubic root of 9181920 is about 209.4005581038.

It can be divided in two parts, 9181 and 920, that added together give a palindrome (10101).

The spelling of 9181920 in words is "nine million, one hundred eighty-one thousand, nine hundred twenty".