993330960 has 160 divisors (see below), whose sum is σ = 3185474688. Its totient is φ = 255897600.

The previous prime is 993330937. The next prime is 993330973. The reversal of 993330960 is 69033399.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 1041844 + ... + 1042796.

Almost surely, 2^993330960 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 993330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592737344).

993330960 is an abundant number, since it is smaller than the sum of its proper divisors (2192143728).

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

993330960 is a wasteful number, since it uses less digits than its factorization.

993330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 42.

The square root of 993330960 is about 31517.1534247622. The cubic root of 993330960 is about 997.7720264871.

The spelling of 993330960 in words is "nine hundred ninety-three million, three hundred thirty thousand, nine hundred sixty".