96648561 has 27 divisors (see below), whose sum is σ = 145874209. Its totient is φ = 61660032.

The previous prime is 96648533. The next prime is 96648577. The reversal of 96648561 is 16584669.

The square root of 96648561 is 9831.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33350625 + 63297936 = 5775^2 + 7956^2 .

It is not a de Polignac number, because 96648561 - 2¹⁵ = 96615793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96648511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 855241 + ... + 855353.

Almost surely, 2^96648561 is an apocalyptic number.

96648561 is the 9831-st square number.

96648561 is the 4916-th centered octagonal number.

It is an amenable number.

96648561 is a deficient number, since it is larger than the sum of its proper divisors (49225648).

96648561 is a wasteful number, since it uses less digits than its factorization.

96648561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 96648561 is about 458.9145183773.

It can be divided in two parts, 9664 and 8561, that added together give a square (18225 = 135²).

The spelling of 96648561 in words is "ninety-six million, six hundred forty-eight thousand, five hundred sixty-one".