9933840 has 240 divisors, whose sum is σ = 40080768. Its totient is φ = 2239488.

The previous prime is 9933811. The next prime is 9933841. The reversal of 9933840 is 483399.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 9933795 and 9933804.

It is not an unprimeable number, because it can be changed into a prime (9933841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136044 + ... + 136116.

Almost surely, 2^9933840 is an apocalyptic number.

9933840 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 9933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040384).

9933840 is an abundant number, since it is smaller than the sum of its proper divisors (30146928).

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

9933840 is a wasteful number, since it uses less digits than its factorization.

9933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

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

The square root of 9933840 is about 3151.7994860080. The cubic root of 9933840 is about 214.9672926629.

The spelling of 9933840 in words is "nine million, nine hundred thirty-three thousand, eight hundred forty".