993935880 has 256 divisors, whose sum is σ = 3840422400. Its totient is φ = 223948800.

The previous prime is 993935867. The next prime is 993935941. The reversal of 993935880 is 88539399.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 550980 + ... + 552780.

It is an arithmetic number, because the mean of its divisors is an integer number (15001650).

Almost surely, 2^993935880 is an apocalyptic number.

993935880 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 993935880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920211200).

993935880 is an abundant number, since it is smaller than the sum of its proper divisors (2846486520).

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

993935880 is a wasteful number, since it uses less digits than its factorization.

993935880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 993935880 is about 31526.7486430174. The cubic root of 993935880 is about 997.9745268952.

The spelling of 993935880 in words is "nine hundred ninety-three million, nine hundred thirty-five thousand, eight hundred eighty".