993972864 has 128 divisors (see below), whose sum is σ = 2861369280. Its totient is φ = 304496640.

The previous prime is 993972841. The next prime is 993972869. The reversal of 993972864 is 468279399.

993972864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (993972869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278934 + ... + 282474.

Almost surely, 2^993972864 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 993972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430684640).

993972864 is an abundant number, since it is smaller than the sum of its proper divisors (1867396416).

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

993972864 is a wasteful number, since it uses less digits than its factorization.

993972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3606 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 993972864 is about 31527.3351871039. The cubic root of 993972864 is about 997.9869048339.

The spelling of 993972864 in words is "nine hundred ninety-three million, nine hundred seventy-two thousand, eight hundred sixty-four".