993810160 has 120 divisors (see below), whose sum is σ = 2734043760. Its totient is φ = 334881792.

The previous prime is 993810137. The next prime is 993810161. The reversal of 993810160 is 61018399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993810161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 229132 + ... + 233428.

It is an arithmetic number, because the mean of its divisors is an integer number (22783698).

Almost surely, 2^993810160 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 993810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367021880).

993810160 is an abundant number, since it is smaller than the sum of its proper divisors (1740233600).

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

993810160 is a wasteful number, since it uses less digits than its factorization.

993810160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 993810160 is about 31524.7547175232. The cubic root of 993810160 is about 997.9324481756.

The spelling of 993810160 in words is "nine hundred ninety-three million, eight hundred ten thousand, one hundred sixty".