993650688 has 288 divisors, whose sum is σ = 3107220480. Its totient is φ = 305233920.

The previous prime is 993650677. The next prime is 993650689. The reversal of 993650688 is 886056399.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (993650689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21141481 + ... + 21141527.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^993650688 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 993650688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

993650688 is an abundant number, since it is smaller than the sum of its proper divisors (2113569792).

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

993650688 is a wasteful number, since it uses less digits than its factorization.

993650688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 993650688 is about 31522.2253021578. The cubic root of 993650688 is about 997.8790674922.

The spelling of 993650688 in words is "nine hundred ninety-three million, six hundred fifty thousand, six hundred eighty-eight".