9688661761 has 9 divisors (see below), whose sum is σ = 9751969411. Its totient is φ = 9625764352.

The previous prime is 9688661753. The next prime is 9688661771. The reversal of 9688661761 is 1671668869.

It is a happy number.

The square root of 9688661761 is 98431.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9538452225 + 150209536 = 97665^2 + 12256^2 .

It is not a de Polignac number, because 9688661761 - 2³ = 9688661753 is a prime.

It is a super-2 number, since 2×9688661761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9688661696 and 9688661705.

It is not an unprimeable number, because it can be changed into a prime (9688661711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25296576 + ... + 25296958.

Almost surely, 2^9688661761 is an apocalyptic number.

9688661761 is the 98431-st square number.

9688661761 is the 49216-th centered octagonal number.

It is an amenable number.

9688661761 is a deficient number, since it is larger than the sum of its proper divisors (63307650).

9688661761 is an frugal number, since it uses more digits than its factorization.

9688661761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The cubic root of 9688661761 is about 2131.8399583978.

The spelling of 9688661761 in words is "nine billion, six hundred eighty-eight million, six hundred sixty-one thousand, seven hundred sixty-one".