993964608 has 560 divisors, whose sum is σ = 3786428800. Its totient is φ = 256048128.

The previous prime is 993964583. The next prime is 993964627. The reversal of 993964608 is 806469399.

It is a happy number.

993964608 is a `hidden beast` number, since 9 + 93 + 96 + 460 + 8 = 666.

993964608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115435 + ... + 23115477.

It is an arithmetic number, because the mean of its divisors is an integer number (6761480).

Almost surely, 2^993964608 is an apocalyptic number.

993964608 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893214400).

993964608 is an abundant number, since it is smaller than the sum of its proper divisors (2792464192).

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

993964608 is a wasteful number, since it uses less digits than its factorization.

993964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 993964608 is about 31527.2042528354. The cubic root of 993964608 is about 997.9841417126.

It can be divided in two parts, 9939 and 64608, that added together give a palindrome (74547).

The spelling of 993964608 in words is "nine hundred ninety-three million, nine hundred sixty-four thousand, six hundred eight".