993384 has 96 divisors (see below), whose sum is σ = 3232320. Its totient is φ = 279936.

The previous prime is 993367. The next prime is 993397. The reversal of 993384 is 483399.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

993384 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 23 ways as a sum of consecutive naturals, for example, 13572 + ... + 13644.

It is an arithmetic number, because the mean of its divisors is an integer number (33670).

2⁹⁹³³⁸⁴ 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 993384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616160).

993384 is an abundant number, since it is smaller than the sum of its proper divisors (2238936).

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

993384 is a wasteful number, since it uses less digits than its factorization.

993384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

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

The square root of 993384 is about 996.6865103933. The cubic root of 993384 is about 99.7789785216.

It can be divided in two parts, 9 and 93384, that multiplied together give a triangular number (840456 = T₁₂₉₆).

The spelling of 993384 in words is "nine hundred ninety-three thousand, three hundred eighty-four".