993024000 has 288 divisors, whose sum is σ = 3587613120. Its totient is φ = 264192000.

The previous prime is 993023989. The next prime is 993024013. The reversal of 993024000 is 420399.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303785 + ... + 2304215.

It is an arithmetic number, because the mean of its divisors is an integer number (12456990).

Almost surely, 2^993024000 is an apocalyptic number.

993024000 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 993024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793806560).

993024000 is an abundant number, since it is smaller than the sum of its proper divisors (2594589120).

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

993024000 is a wasteful number, since it uses less digits than its factorization.

993024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 993024000 is about 31512.2833193661. The cubic root of 993024000 is about 997.6692384378.

Adding to 993024000 its reverse (420399), we get a palindrome (993444399).

It can be divided in two parts, 9930 and 24000, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 993024000 in words is "nine hundred ninety-three million, twenty-four thousand".