993912768 has 154 divisors (see below), whose sum is σ = 2969675544. Its totient is φ = 330044544.

The previous prime is 993912727. The next prime is 993912779. The reversal of 993912768 is 867219399.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3779005 + ... + 3779267.

Almost surely, 2^993912768 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 993912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484837772).

993912768 is an abundant number, since it is smaller than the sum of its proper divisors (1975762776).

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

993912768 is an frugal number, since it uses more digits than its factorization.

993912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 993912768 is about 31526.3820950010. The cubic root of 993912768 is about 997.9667915317.

The spelling of 993912768 in words is "nine hundred ninety-three million, nine hundred twelve thousand, seven hundred sixty-eight".