993000960 has 480 divisors, whose sum is σ = 4044598272. Its totient is φ = 220446720.

The previous prime is 993000941. The next prime is 993000989. The reversal of 993000960 is 69000399.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7580095 + ... + 7580225.

Almost surely, 2^993000960 is an apocalyptic number.

993000960 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 993000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022299136).

993000960 is an abundant number, since it is smaller than the sum of its proper divisors (3051597312).

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

993000960 is a wasteful number, since it uses less digits than its factorization.

993000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 993000960 is about 31511.9177455134. The cubic root of 993000960 is about 997.6615224521.

The spelling of 993000960 in words is "nine hundred ninety-three million, nine hundred sixty", and thus it is an aban number.