9381920 has 48 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 3720960.

The previous prime is 9381919. The next prime is 9381941. The reversal of 9381920 is 291839.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 30407 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 2^9381920 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 9381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

9381920 is an abundant number, since it is smaller than the sum of its proper divisors (12971488).

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

9381920 is a wasteful number, since it uses less digits than its factorization.

9381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 9381920 is about 3062.9920012955. The cubic root of 9381920 is about 210.9100340462.

It can be divided in two parts, 93819 and 20, that added together give a palindrome (93839).

The spelling of 9381920 in words is "nine million, three hundred eighty-one thousand, nine hundred twenty".