9993360 has 80 divisors (see below), whose sum is σ = 33372864. Its totient is φ = 2459136.

The previous prime is 9993359. The next prime is 9993383. The reversal of 9993360 is 633999.

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 (39).

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, 1519 + ... + 4721.

Almost surely, 2^9993360 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 9993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686432).

9993360 is an abundant number, since it is smaller than the sum of its proper divisors (23379504).

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

9993360 is a wasteful number, since it uses less digits than its factorization.

9993360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 39.

The square root of 9993360 is about 3161.2276096479. The cubic root of 9993360 is about 215.3957736239.

The spelling of 9993360 in words is "nine million, nine hundred ninety-three thousand, three hundred sixty".