993140880 has 80 divisors (see below), whose sum is σ = 3085677504. Its totient is φ = 264240640.

The previous prime is 993140843. The next prime is 993140891. The reversal of 993140880 is 88041399.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 107650 + ... + 116510.

Almost surely, 2^993140880 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 993140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542838752).

993140880 is an abundant number, since it is smaller than the sum of its proper divisors (2092536624).

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

993140880 is a wasteful number, since it uses less digits than its factorization.

993140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9338 counting only the distinct ones).

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

The square root of 993140880 is about 31514.1377797331. The cubic root of 993140880 is about 997.7083791521.

The spelling of 993140880 in words is "nine hundred ninety-three million, one hundred forty thousand, eight hundred eighty".