993868240 has 40 divisors (see below), whose sum is σ = 2317429800. Its totient is φ = 396397056.

The previous prime is 993868237. The next prime is 993868261. The reversal of 993868240 is 42868399.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 946423696 = 6888^2 + 30764^2 .

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10122 + ... + 45718.

It is an arithmetic number, because the mean of its divisors is an integer number (57935745).

Almost surely, 2^993868240 is an apocalyptic number.

It is an amenable number.

993868240 is an abundant number, since it is smaller than the sum of its proper divisors (1323561560).

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

993868240 is a wasteful number, since it uses less digits than its factorization.

993868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35959 (or 35953 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 993868240 is about 31525.6758849037. The cubic root of 993868240 is about 997.9518881014.

The spelling of 993868240 in words is "nine hundred ninety-three million, eight hundred sixty-eight thousand, two hundred forty".