9493920 has 144 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 2391552.

The previous prime is 9493909. The next prime is 9493937. The reversal of 9493920 is 293949.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27187 + ... + 27533.

It is an arithmetic number, because the mean of its divisors is an integer number (237510).

Almost surely, 2^9493920 is an apocalyptic number.

9493920 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 9493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100720).

9493920 is an abundant number, since it is smaller than the sum of its proper divisors (24707520).

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

9493920 is a wasteful number, since it uses less digits than its factorization.

9493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

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

The square root of 9493920 is about 3081.2205373845. The cubic root of 9493920 is about 211.7459874522.

The spelling of 9493920 in words is "nine million, four hundred ninety-three thousand, nine hundred twenty".