9997600 has 36 divisors (see below), whose sum is σ = 24408594. Its totient is φ = 3998720.

The previous prime is 9997597. The next prime is 9997601. The reversal of 9997600 is 67999.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 2446096 = 2748^2 + 1564^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5449 + ... + 7048.

Almost surely, 2^9997600 is an apocalyptic number.

It is an amenable number.

9997600 is an abundant number, since it is smaller than the sum of its proper divisors (14410994).

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

9997600 is a wasteful number, since it uses less digits than its factorization.

9997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 9997600 is about 3161.8981640780. The cubic root of 9997600 is about 215.4262321466.

The spelling of 9997600 in words is "nine million, nine hundred ninety-seven thousand, six hundred".