993920640 has 256 divisors, whose sum is σ = 3449329920. Its totient is φ = 242417664.

The previous prime is 993920639. The next prime is 993920651. The reversal of 993920640 is 46029399.

It is a junction number, because it is equal to n+sod(n) for n = 993920592 and 993920601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207269 + ... + 1208091.

It is an arithmetic number, because the mean of its divisors is an integer number (13473945).

Almost surely, 2^993920640 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 993920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724664960).

993920640 is an abundant number, since it is smaller than the sum of its proper divisors (2455409280).

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

993920640 is a wasteful number, since it uses less digits than its factorization.

993920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 993920640 is about 31526.5069425714. The cubic root of 993920640 is about 997.9694262277.

The spelling of 993920640 in words is "nine hundred ninety-three million, nine hundred twenty thousand, six hundred forty".