9967680 has 84 divisors (see below), whose sum is σ = 34294572. Its totient is φ = 2657280.

The previous prime is 9967673. The next prime is 9967681. The reversal of 9967680 is 867699.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 7225344 = 1656^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9967681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150 + ... + 4610.

Almost surely, 2^9967680 is an apocalyptic number.

9967680 is a gapful number since it is divisible by the number (90) 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 9967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147286).

9967680 is an abundant number, since it is smaller than the sum of its proper divisors (24326892).

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

9967680 is a wasteful number, since it uses less digits than its factorization.

9967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9967680 is about 3157.1632837090. The cubic root of 9967680 is about 215.2111140688.

The spelling of 9967680 in words is "nine million, nine hundred sixty-seven thousand, six hundred eighty".