993861120 has 480 divisors, whose sum is σ = 3918499200. Its totient is φ = 213663744.

The previous prime is 993861097. The next prime is 993861133. The reversal of 993861120 is 21168399.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7150011 + ... + 7150149.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2^993861120 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 993861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959249600).

993861120 is an abundant number, since it is smaller than the sum of its proper divisors (2924638080).

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

993861120 is a wasteful number, since it uses less digits than its factorization.

993861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 993861120 is about 31525.5629608735. The cubic root of 993861120 is about 997.9495050108.

The spelling of 993861120 in words is "nine hundred ninety-three million, eight hundred sixty-one thousand, one hundred twenty".