9997680 has 160 divisors (see below), whose sum is σ = 38711808. Its totient is φ = 2073600.

The previous prime is 9997661. The next prime is 9997697. The reversal of 9997680 is 867999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18210 + ... + 18750.

Almost surely, 2^9997680 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 9997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355904).

9997680 is an abundant number, since it is smaller than the sum of its proper divisors (28714128).

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

9997680 is a wasteful number, since it uses less digits than its factorization.

9997680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9997680 is about 3161.9108146815. The cubic root of 9997680 is about 215.4268067530.

Subtracting from 9997680 its product of nonzero digits (244944), we obtain a triangular number (9752736 = T₄₄₁₆).

It can be divided in two parts, 99 and 97680, that added together give a palindrome (97779).

The spelling of 9997680 in words is "nine million, nine hundred ninety-seven thousand, six hundred eighty".