993108480 has 640 divisors, whose sum is σ = 4124736000. Its totient is φ = 202309632.

The previous prime is 993108463. The next prime is 993108517. The reversal of 993108480 is 84801399.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×993108480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34245106 + ... + 34245134.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^993108480 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 993108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

993108480 is an abundant number, since it is smaller than the sum of its proper divisors (3131627520).

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

993108480 is a wasteful number, since it uses less digits than its factorization.

993108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 993108480 is about 31513.6237205435. The cubic root of 993108480 is about 997.6975293644.

The spelling of 993108480 in words is "nine hundred ninety-three million, one hundred eight thousand, four hundred eighty".