9809602560 has 144 divisors (see below), whose sum is σ = 33998639220. Its totient is φ = 2615869440.

The previous prime is 9809602529. The next prime is 9809602619. The reversal of 9809602560 is 652069089.

9809602560 is a `hidden beast` number, since 9 + 80 + 9 + 6 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8160592896 + 1649009664 = 90336^2 + 40608^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38940 + ... + 145380.

Almost surely, 2^9809602560 is an apocalyptic number.

9809602560 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 9809602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999319610).

9809602560 is an abundant number, since it is smaller than the sum of its proper divisors (24189036660).

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

9809602560 is a wasteful number, since it uses less digits than its factorization.

9809602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106474 (or 106451 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9809602560 is about 99043.4377432448. The cubic root of 9809602560 is about 2140.6736866359.

The spelling of 9809602560 in words is "nine billion, eight hundred nine million, six hundred two thousand, five hundred sixty".