9997568 has 54 divisors (see below), whose sum is σ = 23243346. Its totient is φ = 4279296.

The previous prime is 9997523. The next prime is 9997573. The reversal of 9997568 is 8657999.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 1517824 = 2912^2 + 1232^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12146 + ... + 12942.

Almost surely, 2^9997568 is an apocalyptic number.

9997568 is a gapful number since it is divisible by the number (98) 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 9997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621673).

9997568 is an abundant number, since it is smaller than the sum of its proper divisors (13245778).

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

9997568 is an equidigital number, since it uses as much as digits as its factorization.

9997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 806 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 53.

The square root of 9997568 is about 3161.8931038225. The cubic root of 9997568 is about 215.4260023033.

The spelling of 9997568 in words is "nine million, nine hundred ninety-seven thousand, five hundred sixty-eight".