993619116 has 96 divisors (see below), whose sum is σ = 2951477760. Its totient is φ = 283176000.

The previous prime is 993619069. The next prime is 993619129. The reversal of 993619116 is 611916399.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 347091 + ... + 349941.

It is an arithmetic number, because the mean of its divisors is an integer number (30744560).

Almost surely, 2^993619116 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 993619116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475738880).

993619116 is an abundant number, since it is smaller than the sum of its proper divisors (1957858644).

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

993619116 is a wasteful number, since it uses less digits than its factorization.

993619116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3324 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 993619116 is about 31521.7245086623. The cubic root of 993619116 is about 997.8684985964.

The spelling of 993619116 in words is "nine hundred ninety-three million, six hundred nineteen thousand, one hundred sixteen".