9331920 has 120 divisors (see below), whose sum is σ = 33784296. Its totient is φ = 2294784.

The previous prime is 9331919. The next prime is 9331921. The reversal of 9331920 is 291339.

It is an interprime number because it is at equal distance from previous prime (9331919) and next prime (9331921).

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 8363664 = 984^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9331921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8862 + ... + 9858.

Almost surely, 2^9331920 is an apocalyptic number.

9331920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892148).

9331920 is an abundant number, since it is smaller than the sum of its proper divisors (24452376).

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

9331920 is a wasteful number, since it uses less digits than its factorization.

9331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9331920 is about 3054.8191435828. The cubic root of 9331920 is about 210.5346918597.

It can be divided in two parts, 93319 and 20, that added together give a palindrome (93339).

The spelling of 9331920 in words is "nine million, three hundred thirty-one thousand, nine hundred twenty".