993384000 has 672 divisors, whose sum is σ = 4269248256. Its totient is φ = 223948800.

The previous prime is 993383971. The next prime is 993384031. The reversal of 993384000 is 483399.

993384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607964 + ... + 13608036.

It is an arithmetic number, because the mean of its divisors is an integer number (6353048).

Almost surely, 2^993384000 is an apocalyptic number.

993384000 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 993384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134624128).

993384000 is an abundant number, since it is smaller than the sum of its proper divisors (3275864256).

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

993384000 is an equidigital number, since it uses as much as digits as its factorization.

993384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

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

The square root of 993384000 is about 31517.9948600795. The cubic root of 993384000 is about 997.7897852163.

The spelling of 993384000 in words is "nine hundred ninety-three million, three hundred eighty-four thousand".