9979680 has 96 divisors (see below), whose sum is σ = 33312384. Its totient is φ = 2502656.

The previous prime is 9979643. The next prime is 9979681. The reversal of 9979680 is 869799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (9979681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7549 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (347004).

Almost surely, 2^9979680 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 9979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192).

9979680 is an abundant number, since it is smaller than the sum of its proper divisors (23332704).

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

9979680 is a wasteful number, since it uses less digits than its factorization.

9979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

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

The square root of 9979680 is about 3159.0631522652. The cubic root of 9979680 is about 215.2974430072.

The spelling of 9979680 in words is "nine million, nine hundred seventy-nine thousand, six hundred eighty".