9393840 has 80 divisors (see below), whose sum is σ = 32364000. Its totient is φ = 2504448.

The previous prime is 9393829. The next prime is 9393871. The reversal of 9393840 is 483939.

9393840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9393795 and 9393804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (404550).

Almost surely, 2^9393840 is an apocalyptic number.

9393840 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 9393840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182000).

9393840 is an abundant number, since it is smaller than the sum of its proper divisors (22970160).

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

9393840 is a wasteful number, since it uses less digits than its factorization.

9393840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9393840 is about 3064.9371934837. The cubic root of 9393840 is about 210.9993186714. Note that the first 3 decimals are identical.

The spelling of 9393840 in words is "nine million, three hundred ninety-three thousand, eight hundred forty".