9131920 has 80 divisors (see below), whose sum is σ = 25355520. Its totient is φ = 2990592.

The previous prime is 9131917. The next prime is 9131923. The reversal of 9131920 is 291319.

It is an interprime number because it is at equal distance from previous prime (9131917) and next prime (9131923).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9131923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12526 + ... + 13234.

It is an arithmetic number, because the mean of its divisors is an integer number (316944).

Almost surely, 2^9131920 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 9131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677760).

9131920 is an abundant number, since it is smaller than the sum of its proper divisors (16223600).

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

9131920 is a wasteful number, since it uses less digits than its factorization.

9131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9131920 is about 3021.9066828742. The cubic root of 9131920 is about 209.0197702656.

The spelling of 9131920 in words is "nine million, one hundred thirty-one thousand, nine hundred twenty".