993888675 has 144 divisors (see below), whose sum is σ = 2017037568. Its totient is φ = 464486400.

The previous prime is 993888671. The next prime is 993888683. The reversal of 993888675 is 576888399.

It is a Cunningham number, because it is equal to 31526²-1.

It is not a de Polignac number, because 993888675 - 2² = 993888671 is a prime.

It is a super-3 number, since 3×993888675³ (a number of 28 digits) contains 333 as substring.

Its product of digits (26127360) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (993888671) 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 143 ways as a sum of consecutive naturals, for example, 8795419 + ... + 8795531.

Almost surely, 2^993888675 is an apocalyptic number.

993888675 is an abundant number, since it is smaller than the sum of its proper divisors (1023148893).

993888675 is a wasteful number, since it uses less digits than its factorization.

993888675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 993888675 is about 31525.9999841401. Note that the first 4 decimals coincide. The cubic root of 993888675 is about 997.9587277093.

The spelling of 993888675 in words is "nine hundred ninety-three million, eight hundred eighty-eight thousand, six hundred seventy-five".