993840 has 80 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 256000.

The previous prime is 993827. The next prime is 993841. The reversal of 993840 is 48399.

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

It is not an unprimeable number, because it can be changed into a prime (993841) by changing a digit.

993840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9790 + ... + 9890.

2⁹⁹³⁸⁴⁰ 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 993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

993840 is an abundant number, since it is smaller than the sum of its proper divisors (2193456).

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

993840 is a wasteful number, since it uses less digits than its factorization.

993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 993840 is about 996.9152421345. The cubic root of 993840 is about 99.7942436001.

The spelling of 993840 in words is "nine hundred ninety-three thousand, eight hundred forty".