9807698160 has 640 divisors, whose sum is σ = 39597465600. Its totient is φ = 2209628160.

The previous prime is 9807698143. The next prime is 9807698167. The reversal of 9807698160 is 618967089.

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

It is a junction number, because it is equal to n+sod(n) for n = 9807698097 and 9807698106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807698167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16538824 + ... + 16539416.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 2^9807698160 is an apocalyptic number.

9807698160 is a gapful number since it is divisible by the number (90) 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 9807698160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

9807698160 is an abundant number, since it is smaller than the sum of its proper divisors (29789767440).

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

9807698160 is a wasteful number, since it uses less digits than its factorization.

9807698160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9807698160 is about 99033.8233130480. The cubic root of 9807698160 is about 2140.5351501769.

The spelling of 9807698160 in words is "nine billion, eight hundred seven million, six hundred ninety-eight thousand, one hundred sixty".