993009840 has 40 divisors (see below), whose sum is σ = 3078331248. Its totient is φ = 264802560.

The previous prime is 993009833. The next prime is 993009859. The reversal of 993009840 is 48900399.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 993009792 and 993009801.

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 7 ways as a sum of consecutive naturals, for example, 2068531 + ... + 2069010.

Almost surely, 2^993009840 is an apocalyptic number.

It is an amenable number.

993009840 is an abundant number, since it is smaller than the sum of its proper divisors (2085321408).

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

993009840 is a wasteful number, since it uses less digits than its factorization.

993009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137557 (or 4137551 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 993009840 is about 31512.0586442714. The cubic root of 993009840 is about 997.6644963357.

The spelling of 993009840 in words is "nine hundred ninety-three million, nine thousand, eight hundred forty".