9993720 has 128 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2365440.

The previous prime is 9993713. The next prime is 9993743. The reversal of 9993720 is 273999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88384 + ... + 88496.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^9993720 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 9993720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

9993720 is an abundant number, since it is smaller than the sum of its proper divisors (23494920).

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

9993720 is a wasteful number, since it uses less digits than its factorization.

9993720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 9993720 is about 3161.2845490402. The cubic root of 9993720 is about 215.3983600596.

The spelling of 9993720 in words is "nine million, nine hundred ninety-three thousand, seven hundred twenty".