9997768 has 64 divisors (see below), whose sum is σ = 22317120. Its totient is φ = 4147200.

The previous prime is 9997753. The next prime is 9997777. The reversal of 9997768 is 8677999.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61255 + ... + 61417.

It is an arithmetic number, because the mean of its divisors is an integer number (348705).

Almost surely, 2^9997768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158560).

9997768 is an abundant number, since it is smaller than the sum of its proper divisors (12319352).

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

9997768 is a wasteful number, since it uses less digits than its factorization.

9997768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 55.

The square root of 9997768 is about 3161.9247302869. The cubic root of 9997768 is about 215.4274388164.

The spelling of 9997768 in words is "nine million, nine hundred ninety-seven thousand, seven hundred sixty-eight".