993063840 has 192 divisors, whose sum is σ = 3341036160. Its totient is φ = 247070720.

The previous prime is 993063821. The next prime is 993063853. The reversal of 993063840 is 48360399.

993063840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 993063792 and 993063801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068496 + ... + 1069424.

It is an arithmetic number, because the mean of its divisors is an integer number (17401230).

Almost surely, 2^993063840 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 993063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670518080).

993063840 is an abundant number, since it is smaller than the sum of its proper divisors (2347972320).

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

993063840 is a wasteful number, since it uses less digits than its factorization.

993063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 993063840 is about 31512.9154474796. The cubic root of 993063840 is about 997.6825803815.

The spelling of 993063840 in words is "nine hundred ninety-three million, sixty-three thousand, eight hundred forty".