1993384000 has 112 divisors (see below), whose sum is σ = 5011643520. Its totient is φ = 785241600.

The previous prime is 1993383983. The next prime is 1993384009. The reversal of 1993384000 is 4833991.

It is not an unprimeable number, because it can be changed into a prime (1993384009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534141 + ... + 537859.

Almost surely, 2^1993384000 is an apocalyptic number.

1993384000 is a gapful number since it is divisible by the number (10) 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 1993384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505821760).

1993384000 is an abundant number, since it is smaller than the sum of its proper divisors (3018259520).

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

1993384000 is an equidigital number, since it uses as much as digits as its factorization.

1993384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 1993384000 is about 44647.3291474417. The cubic root of 1993384000 is about 1258.5302422240.

The spelling of 1993384000 in words is "one billion, nine hundred ninety-three million, three hundred eighty-four thousand".