9954385360 has 60 divisors (see below), whose sum is σ = 24585494508. Its totient is φ = 3747524608.

The previous prime is 9954385327. The next prime is 9954385409. The reversal of 9954385360 is 635834599.

9954385360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 289136016 + 9665249344 = 17004^2 + 98312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9954385298 and 9954385307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192157 + ... + 238396.

Almost surely, 2^9954385360 is an apocalyptic number.

It is an amenable number.

9954385360 is an abundant number, since it is smaller than the sum of its proper divisors (14631109148).

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

9954385360 is a wasteful number, since it uses less digits than its factorization.

9954385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430600 (or 430577 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The square root of 9954385360 is about 99771.6661181921. Note that the first 3 decimals coincide. The cubic root of 9954385360 is about 2151.1539044757.

The spelling of 9954385360 in words is "nine billion, nine hundred fifty-four million, three hundred eighty-five thousand, three hundred sixty".