9789395616 has 900 divisors, whose sum is σ = 39757466826. Its totient is φ = 2347107840.

The previous prime is 9789395597. The next prime is 9789395633. The reversal of 9789395616 is 6165939879.

9789395616 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 3 + 9 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9412880400 + 376515216 = 97020^2 + 19404^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (22044960) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 753030426 + ... + 753030438.

Almost surely, 2^9789395616 is an apocalyptic number.

9789395616 is a gapful number since it is divisible by the number (96) 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 9789395616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878733413).

9789395616 is an abundant number, since it is smaller than the sum of its proper divisors (29968071210).

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

9789395616 is a wasteful number, since it uses less digits than its factorization.

9789395616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 9789395616 is about 98941.3746417544. The cubic root of 9789395616 is about 2139.2028078506.

The spelling of 9789395616 in words is "nine billion, seven hundred eighty-nine million, three hundred ninety-five thousand, six hundred sixteen".