9349920 has 144 divisors (see below), whose sum is σ = 32864832. Its totient is φ = 2419200.

The previous prime is 9349859. The next prime is 9349931. The reversal of 9349920 is 299439.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61845 + ... + 61995.

It is an arithmetic number, because the mean of its divisors is an integer number (228228).

Almost surely, 2^9349920 is an apocalyptic number.

9349920 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 9349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432416).

9349920 is an abundant number, since it is smaller than the sum of its proper divisors (23514912).

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

9349920 is a wasteful number, since it uses less digits than its factorization.

9349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9349920 is about 3057.7638888573. The cubic root of 9349920 is about 210.6699691483.

The spelling of 9349920 in words is "nine million, three hundred forty-nine thousand, nine hundred twenty".